Плакса Сергій Анатолійович
Публікації
Монографії:
2008 - Mel'nichenko I.P. and Plaksa S.A. Commutative algebras and spatial potential fields. Kyiv, Institute of Mathematics of the National Academy of Sciences of Ukraine (in Russian).
2023 - Plaksa S.A. and Shpakivskyi V.S. Monogenic functions in spaces with commutative multiplication and applications. Frontiers in Mathematics, Birkhäuser Cham.
DOI: 10.1007/978-3-031-32254-9
Редаговані збірки праць:
2010 - Zelinskii Yu.B., Limarchenko O.S., Plaksa S.A., Tamrazov P.M., Trokhimchuk Yu.Yu. (eds). Complex Analysis and Free Boundary Flows. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 7, No. 2.
2012 - Zelinskii Yu.B., Gerasymenko V.I., Trokhimchuk Yu.Yu., Bakhtin O.K., Plaksa S.A. (eds). Analysis and Applications. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 9, No. 2.
2013 - Zelinskii Yu.B., Plaksa S.A. (eds). Complex Analysis, Potential Theory and Applications. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 10, No. 4-5.
2014 - Complex Analysis and Potential Theory, in memory of Promarz M. Tamrazov (Editor: M. Lanza de Cristoforis, Associated editor: S. Plaksa). Complex Variables and Elliptic Equations, 59, No. 1.
DOI: 10.1080/17476933.2013.859254
2022 - Plaksa S.A., Denega I.V. (eds). Complex Analysis and Applications. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 19, No. 1.
Розділи монографій або збірок праць:
2000 - Plaksa S. Boundary properties of axial-symmetrical potential and Stokes flow function. In: Joji Kajiwara, Zong Li, Kwang Ho Shon (eds). Finite or Infinite Dimensional Complex Analysis. Lecture Notes in Pure and Applied Mathematics. Marcel Dekker Inc., 214, 443-455.
2012 - Plaksa S.A. Commutative algebras associated with classic equations of mathematical physics. In: Rogosin S., Koroleva A. (eds). Advances in Applied Analysis. Trends in Mathematics. Birkhäuser, Basel, 177-223.
DOI: 10.1007/978-3-0348-0417-2_5
2014 - Plaksa S. A. and Pukhtaievych R. P. Monogenic functions in a three-dimensional harmonic comutative algebras, In: T. Aliev, A. Golberg, and S. V. Rogosin (eds). Complex Analysis and Potential Theory with Applications, Proceedings of the 9th ISAAC Congress, Krakow, Poland, 5-9 August, 2013, Cambridge Scientific Publishers, Cottenham, UK, 148-155.
2019 - Gryshchuk S.V. and Plaksa S.A. Biharmonic monogenic functions and biharmonic boundary value problems, In: Lindahl K., Lindström T., Rodino L., Toft J., Wahlberg P. (eds). Analysis, Probability, Applications, and Computation. Trends in Mathematics. Birkhäuser, Cham, 153-160.
DOI: 10.1007/978-3-030-04459-6_14
2019 - Gryshchuk S.V. and Plaksa S.A. Schwartz-type boundary value problems for monogenic functions in a biharmonic algebra, In: Rogosin S., Çelebi A. (eds). Analysis as a Life. Trends in Mathematics. Birkhäuser, Cham, 193-211.
DOI: 10.1007/978-3-030-02650-9_10
2019 - Plaksa S.A. Axial-symmetric potential flows, In: Flaut C., Hošková-Mayerová Š., Flaut D. (eds). Models and Theories in Social Systems, Studies in Systems, Decision and Control, 179, Springer, Cham, 165-195.
DOI: 10.1007/978-3-030-00084-4_9
2021 - Gryshchuk S.V. and Plaksa S.A. A hypercomplex method for solving boundary value problems for biharmonic functions, In: Hošková-Mayerová Š., Flaut C., Maturo F. (eds). Algorithms as a Basis of Modern Applied Mathematics. Studies in Fuzziness and Soft Computing, 404, Springer, Cham, 231-255.
DOI: 10.1007/978-3-030-61334-1_12
2023 - Tkachuk M.V. and Plaksa S.A. Menchov–Trokhimchuk theorem generalized for monogenic functions in a three-dimensional algebra, In: Kähler, U., Reissig, M., Sabadini, I., Vin-das, J. (eds) Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics. Birkhäuser, Cham, 333-342.
DOI: 10.1007/978-3-031-36375-7_25
2025 - Gryshchuk S. and Plaksa S. A piecewise continuous Schwarz-type boundary-value problem in an angle for monogenic functions in a commutative biharmonic algebra, In: Ebert, M.R., Kähler, U., Sabadini, I., Toft, J. (eds) New Tools in Mathematical Analysis and Applications. ISAAC 2023. Trends in Mathematics. Birkhäuser, Cham, 121-132.
DOI: 10.1007/978-3-031-77050-0_11
Публікації в наукових журналах:
1989 - Plaksa S.A. Riemann boundary-value problem with an oscillating coefficient and singular integral equations on a rectifiable curve, Ukr. Math. J., 41(1), 107-112.
DOI: 10.1007/BF01060659
1990 - Plaksa S.A. Riemann boundary problem with index plus-infinity on a rectifiable curve, Ukr. Math. J., 42(9), 1070-1077.
DOI: 10.1007/BF01056599
1990 - Plaksa S.A. Riemann boundary-value problem with index minus infinity on a rectifiable curve, Ukr. Math. J., 42(10), 1199-1204.
DOI: 10.1007/BF01057389
1990 - Plaksa S.A. Riemann boundary problem with infinite index of logarithmic order on a spiral-form contour. I, Ukr. Math. J., 42(11), 1351-1358.
DOI: 10.1007/BF01066191
1990 - Plaksa S.A. Riemann boundary problem with infinite index of logarithmic order on a spiral-form contour. II, Ukr. Math. J., 42(12), 1507-1515.
DOI: 10.1007/BF01060822
1993 - Plaksa S.A. On perturbation of semi-Noether operators in incomplete spaces. I, Ukr. Math. J., 45(2), 290-298.
DOI: 10.1007/BF01060986
1993 - Plaksa S.A. On perturbation of semi-Noether operators in incomplete spaces. II, Ukr. Math. J., 45(3), 424-429.
DOI: 10.1007/BF01061015
1993 - Plaksa S.A. On the composition of operators in vector spaces and their Noether property, Ukr. Math. J., 45(8), 1316-1320.
DOI: 10.1007/BF01070982
1993 - Plaksa S.A. On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve, Ukr. Math. J., 45(10), 1548-1559.
DOI: 10.1007/BF01571089
1995 - Mel'nichenko I.P. and Plaksa S.A. Reduction of the principal biharmonic problem for a quadrant to nonsingular integral equations, Ukr. Math. J., 47(6), 892–903.
DOI: 10.1007/BF01058780
1996 - Mel'nichenko I.P. and Plaksa S.A. Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I, Ukr. Math. J., 48(11), 1717-1730.
DOI: 10.1007/BF02529493
1996 - Mel'nichenko I.P. and Plaksa S.A. Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. II, Ukr. Math. J., 48(12), 1916-1926.
DOI: 10.1007/BF02375377
1997 - Mel'nichenko I.P. and Plaksa S.A. Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. III, Ukr. Math. J., 49(2), 253-268.
DOI: 10.1007/BF02486440
2000 - Plaksa S.A. Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I, Ukr. Math. J., 52(4), 564–585.
DOI: 10.1007/BF02515397
2000 - Plaksa S.A. Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II, Ukr. Math. J., 52(6), 856–867.
DOI: 10.1007/BF02591780
2001 - Plaksa S.A. On integral representations of an axisymmetric potential and the Stokes flow function in domains of the meridian plane. I, Ukr. Math. J., 53(5), 726-743.
DOI: 10.1023/A:1012578200291
2001 - Plaksa S.A. On integral representations of an axisymmetric potential and the Stokes flow function in domains of the meridian plane. II, Ukr. Math. J., 53(6), 938-950.
DOI: 10.1023/A:1013351918523
2001 - Plaksa S.A. Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane, Ukr. Math. J., 53(12), 1976-1997.
DOI: 10.1023/A:1015486805984
2002 - Plaksa S.A. On the solution of the exterior Dirichlet problem for an axisymmetric potential, Ukr. Math. J., 54(12), 1982–1991.
DOI: 10.1023/A:1024073231378
2003 - Plaksa S.A. Dirichlet problem for the Stokes flow function in a simply connected domain of the meridian plane, Ukr. Math. J., 55(2), 241-281.
DOI: 10.1023/A:1025464312591
2003 - Plaksa S.A. Singular integral operators in spaces of oscillating functions on a rectifiable curve, Ukr. Math. J., 55(9), 1457-1471.
DOI: 10.1023/B:UKMA.0000018007.04762.eb
2005 - Plaksa S.A. Differentiation of singular integrals with piecewise-continuous density and boundary values of derivatives of a Cauchy-type integral, Ukr. Math. J., 57(2), 261-270.
DOI: 10.1007/s11253-005-0186-7
2006 - Vasil'eva Yu.V. and Plaksa S.A. Piecewise-continuous Riemann boundary value problem on a rectifiable curve, Ukr. Math. J., 58(5), 616-628.
DOI: 10.1007/s11253-006-0095-4
2009 - Grishchuk S.V. and Plaksa S.A. Integral representations of generalized axially symmetric potentials in a simply connected domain, Ukr. Math. J., 61(2), 195-213.
DOI: 10.1007/s11253-009-0209-x
2009 - Grishchuk S.V. and Plaksa S.A. Monogenic functions in a biharmonic algebra, Ukr. Math. J., 61(12), 1865-1876.
DOI: 10.1007/s11253-010-0319-5
2009 - Герус О.Ф., Плакса С.А. Формула Ньютона–Лейбница и квазианалитические классы функций на кривых, Зб. праць Ін-ту математики НАН України, 2009, 6 (1), 73–81.
2010 - Shpakivskyi V.S. and Plaksa S.A. Integral theorems and a Cauchy formula in a commutative three-dimensional harmonic algebra, Bulletin de la Societe des Sciences et des Lettres de Lodz, 60(2), 47-54
2011 - Plaksa S.A. and Shpakivskyi V.S. Constructive description of monogenic functions in a harmonic algebra of the third rank, Ukr. Math. J., 62(8), 1078-1091.
DOI: 10.1007/s11253-011-0427-x
2011 - Plaksa S.A., Gryshchuk S.V. and Shpakivskyi V.S. Commutative algebras of monogenic functions associated with classic equations of mathematical physics, Contemporary Mathematics, 553, Amer. Math. Soc., Providence, 245-258.
DOI: 10.1090/conm/553
2011 - Plaksa S.A. and Kudjavina Yu.V. Riemann boundary value problem on an open Jordan rectifiable curve. I, Ukr. Math. J., 62(11), 1511-1522.
DOI: 10.1007/s11253-011-0465-4
2011 - Plaksa S.A. and Kudjavina Yu.V. Riemann boundary value problem on an open Jordan rectifiable curve. II, Ukr. Math. J., 62(12), 1659-1671.
DOI: 10.1007/s11253-011-0480-5
2012 - Plaksa S.A. and Shpakivskyi V.S. Limiting values of Cauchy type integral in a three-dimensional harmonic algebra, Eurasian Math. J., 3(2), 120-128
2012 - Plaksa S.A. and Shpakivskyi V.S. A description of spatial potential fields by means of monogenic functions in infinite-dimensional spaces with a commutative multiplication, Bulletin de la Societe des Sciences et des Lettres de Lodz, 62(2), 55-65
2013 - Plaksa S.A. and Pukhtaievych R.P. Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical, Ukr. Math. J., 65(5), 740-751.
DOI: 10.1007/s11253-013-0810-x
2013 - Plaksa S.A. and Shpakivskyi V.S. On the logarithmic residues of monogenic functions in a three-dimensional harmonic algebra with two-dimensional radical, Ukr. Math. J., 65(7), 1079-1086.
DOI: 10.1007/s11253-013-0843-1
2013 - Gryshchuk S.V. and Plaksa S.A. Basic properties of monogenic functions in a biharmonic plane, Contemporary Mathematics, 591, Amer. Math. Soc., Providence, 127-134.
DOI: 10.1090/conm/591
2013 - Gryshchuk S.V. and Plaksa S.A. Schwartz-type integrals in a biharmonic plane, Intern. J. of Pure and Applied Math., 83(1), 193-211.
DOI: 10.12732/ijpam.v83i1.13
2013 - Plaksa S.A. and Shpakivskyi V.S. On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical, Annales Universitatis Mariae Curie-Sklodowska. Sectio A, 67(1), 57-64
2014 - Plaksa S.A. and Shpakivskyi V.S. Cauchy theorem for a surface integral in commutative algebras, Complex Variables and Elliptic Equations, 59(1), 110-119.
DOI: 10.1080/17476933.2013.845178
2014 - Plaksa S.A. and Pukhtaievych R.P. Monogenic functions in a finite-dimensional semi-simple commutative algebra, An. St. Univ. Ovidius Constanta, 22(1): 221-235.
DOI: 10.2478/auom-2014-0018
2014 - Plaksa S.A. and Shpakivskyi V.S. Monogenic functions in a finite-dimensional algebra with unit and radical of maximal dimensionality, Journal of Algerian Mathematical Society, 1, 1-13.
2014 - Плакса С.А. і Пухтаєвич Р.П. Конструктивний опис моногенних функцій в скінченновимірній напівпростій комутативній алгебрі , Доп. НАН України, № 1, 14-21.
DOI: 10.15407/dopovidi2014.01.014
2015 - Пухтаєвич Р.П. і Плакса С.А. Інтергал типу Коші по прямій в тривимірній гармонічній алгебрі з одновимірним радикалом Зб. Пр. Інст. Мат. НАН Укр., 12(3), 212-219.
2016 - Gryshchuk S.V. and Plaksa S.A. Monogenic functions in the biharmonic boundary value problem, Mathematical Methods in the Applied Sciences, 39(11), 2939-2952.
DOI: 10.1002/mma.3741
2017 - Plaksa S.A. and Shpakivskyi V.S. An extension of monogenic functions and spatial potentials, Lobachevskii Journal of Mathematics, 38(2), 330-337.
DOI: 10.1134/S1995080217020160
2017 - Gryshchuk S.V. and Plaksa S.A. A Schwartz-type boundary value problem in a biharmonic plane, Lobachevskii Journal of Mathematics, 38(3), 435-442.
DOI: 10.1134/S199508021703012X
2017 - Gryshchuk S.V. and Plaksa S.A. Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations, Open Mathematics, 15(1), 374-381.
DOI: 10.1515/math-2017-0025
2017 - Pukhtaievych R. and Plaksa S. On logarithmic residue of monogenic functions in a three-dimensional commutative algebra with one-dimensional radical, An. St. Univ. Ovidius Constanta, 25(3), 167-182.
DOI: 10.1515/auom-2017-0043
2018 - Plaksa S.A. and Shpakivskyi V.S. Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication, Bulletin de la Societe des Sciences et des Lettres de Lodz, 68(2), 25-36
2019 - Plaksa S.A. A functionally-analytic method for modelling axial-symmetric flows of ideal fluid, Demonstratio Mathematica, 52(1), 213-224.
DOI: 10.1515/dema-2019-0018
2019 - Pukhtaievych R. and Plaksa S. Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical, Monatsh. Math, 189(3), 523-548.
DOI: 10.1007/s00605-019-01288-4
2019 - Plaksa S.A. Monogenic functions in commutative algebras associated with classical equations of mathematical physics, J. Math. Sci., 242(3), 432-456.
DOI: 10.1007/s10958-019-04488-3
2020 - Plaksa S.A. Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line, J. Math. Sci., 244(1), 36-46.
DOI: 10.1007/s10958-019-04602-5
2021 - Gryshchuk S.V. and Plaksa S.A. Schwartz-type boundary-value problems for canonical domains in a biharmonic plane, J. Math. Sci., 259(1), 37-52.
DOI: 10.1007/s10958-021-05599-6
2022 - Tkachuk M.V. and Plaksa S.A. An analog of the Menchov-Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra, Ukr. Math. J., 73(8), 1299-1308.
DOI: 10.1007/s11253-022-01991-w
2023 - Gryshchuk, S.V. and Plaksa S.A. Biharmonic problem in an angle and monogenic functions, Ukr. Math. J., 74(11), 1686-1700.
DOI: 10.1007/s11253-023-02164-z
2023 - Plaksa S.A. Monogenic functions and harmonic vectors, Proceedings of the International Geometry Center, 16(1), 59-76.
DOI: 10.15673/tmgc.v16i1.2385
2024 - Plaksa S.A. On continuous extension of the Cauchy-type integral with parameter-dependent density to the boundary of the domain, Ukr. Math. J., 76(3), 522–527.
DOI: 10.1007/s11253-024-02335-6
2008 - Mel'nichenko I.P. and Plaksa S.A. Commutative algebras and spatial potential fields. Kyiv, Institute of Mathematics of the National Academy of Sciences of Ukraine (in Russian).
2023 - Plaksa S.A. and Shpakivskyi V.S. Monogenic functions in spaces with commutative multiplication and applications. Frontiers in Mathematics, Birkhäuser Cham.
DOI: 10.1007/978-3-031-32254-9
Редаговані збірки праць:
2010 - Zelinskii Yu.B., Limarchenko O.S., Plaksa S.A., Tamrazov P.M., Trokhimchuk Yu.Yu. (eds). Complex Analysis and Free Boundary Flows. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 7, No. 2.
2012 - Zelinskii Yu.B., Gerasymenko V.I., Trokhimchuk Yu.Yu., Bakhtin O.K., Plaksa S.A. (eds). Analysis and Applications. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 9, No. 2.
2013 - Zelinskii Yu.B., Plaksa S.A. (eds). Complex Analysis, Potential Theory and Applications. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 10, No. 4-5.
2014 - Complex Analysis and Potential Theory, in memory of Promarz M. Tamrazov (Editor: M. Lanza de Cristoforis, Associated editor: S. Plaksa). Complex Variables and Elliptic Equations, 59, No. 1.
DOI: 10.1080/17476933.2013.859254
2022 - Plaksa S.A., Denega I.V. (eds). Complex Analysis and Applications. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 19, No. 1.
Розділи монографій або збірок праць:
2000 - Plaksa S. Boundary properties of axial-symmetrical potential and Stokes flow function. In: Joji Kajiwara, Zong Li, Kwang Ho Shon (eds). Finite or Infinite Dimensional Complex Analysis. Lecture Notes in Pure and Applied Mathematics. Marcel Dekker Inc., 214, 443-455.
2012 - Plaksa S.A. Commutative algebras associated with classic equations of mathematical physics. In: Rogosin S., Koroleva A. (eds). Advances in Applied Analysis. Trends in Mathematics. Birkhäuser, Basel, 177-223.
DOI: 10.1007/978-3-0348-0417-2_5
2014 - Plaksa S. A. and Pukhtaievych R. P. Monogenic functions in a three-dimensional harmonic comutative algebras, In: T. Aliev, A. Golberg, and S. V. Rogosin (eds). Complex Analysis and Potential Theory with Applications, Proceedings of the 9th ISAAC Congress, Krakow, Poland, 5-9 August, 2013, Cambridge Scientific Publishers, Cottenham, UK, 148-155.
2019 - Gryshchuk S.V. and Plaksa S.A. Biharmonic monogenic functions and biharmonic boundary value problems, In: Lindahl K., Lindström T., Rodino L., Toft J., Wahlberg P. (eds). Analysis, Probability, Applications, and Computation. Trends in Mathematics. Birkhäuser, Cham, 153-160.
DOI: 10.1007/978-3-030-04459-6_14
2019 - Gryshchuk S.V. and Plaksa S.A. Schwartz-type boundary value problems for monogenic functions in a biharmonic algebra, In: Rogosin S., Çelebi A. (eds). Analysis as a Life. Trends in Mathematics. Birkhäuser, Cham, 193-211.
DOI: 10.1007/978-3-030-02650-9_10
2019 - Plaksa S.A. Axial-symmetric potential flows, In: Flaut C., Hošková-Mayerová Š., Flaut D. (eds). Models and Theories in Social Systems, Studies in Systems, Decision and Control, 179, Springer, Cham, 165-195.
DOI: 10.1007/978-3-030-00084-4_9
2021 - Gryshchuk S.V. and Plaksa S.A. A hypercomplex method for solving boundary value problems for biharmonic functions, In: Hošková-Mayerová Š., Flaut C., Maturo F. (eds). Algorithms as a Basis of Modern Applied Mathematics. Studies in Fuzziness and Soft Computing, 404, Springer, Cham, 231-255.
DOI: 10.1007/978-3-030-61334-1_12
2023 - Tkachuk M.V. and Plaksa S.A. Menchov–Trokhimchuk theorem generalized for monogenic functions in a three-dimensional algebra, In: Kähler, U., Reissig, M., Sabadini, I., Vin-das, J. (eds) Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics. Birkhäuser, Cham, 333-342.
DOI: 10.1007/978-3-031-36375-7_25
2025 - Gryshchuk S. and Plaksa S. A piecewise continuous Schwarz-type boundary-value problem in an angle for monogenic functions in a commutative biharmonic algebra, In: Ebert, M.R., Kähler, U., Sabadini, I., Toft, J. (eds) New Tools in Mathematical Analysis and Applications. ISAAC 2023. Trends in Mathematics. Birkhäuser, Cham, 121-132.
DOI: 10.1007/978-3-031-77050-0_11
Публікації в наукових журналах:
1989 - Plaksa S.A. Riemann boundary-value problem with an oscillating coefficient and singular integral equations on a rectifiable curve, Ukr. Math. J., 41(1), 107-112.
DOI: 10.1007/BF01060659
1990 - Plaksa S.A. Riemann boundary problem with index plus-infinity on a rectifiable curve, Ukr. Math. J., 42(9), 1070-1077.
DOI: 10.1007/BF01056599
1990 - Plaksa S.A. Riemann boundary-value problem with index minus infinity on a rectifiable curve, Ukr. Math. J., 42(10), 1199-1204.
DOI: 10.1007/BF01057389
1990 - Plaksa S.A. Riemann boundary problem with infinite index of logarithmic order on a spiral-form contour. I, Ukr. Math. J., 42(11), 1351-1358.
DOI: 10.1007/BF01066191
1990 - Plaksa S.A. Riemann boundary problem with infinite index of logarithmic order on a spiral-form contour. II, Ukr. Math. J., 42(12), 1507-1515.
DOI: 10.1007/BF01060822
1993 - Plaksa S.A. On perturbation of semi-Noether operators in incomplete spaces. I, Ukr. Math. J., 45(2), 290-298.
DOI: 10.1007/BF01060986
1993 - Plaksa S.A. On perturbation of semi-Noether operators in incomplete spaces. II, Ukr. Math. J., 45(3), 424-429.
DOI: 10.1007/BF01061015
1993 - Plaksa S.A. On the composition of operators in vector spaces and their Noether property, Ukr. Math. J., 45(8), 1316-1320.
DOI: 10.1007/BF01070982
1993 - Plaksa S.A. On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve, Ukr. Math. J., 45(10), 1548-1559.
DOI: 10.1007/BF01571089
1995 - Mel'nichenko I.P. and Plaksa S.A. Reduction of the principal biharmonic problem for a quadrant to nonsingular integral equations, Ukr. Math. J., 47(6), 892–903.
DOI: 10.1007/BF01058780
1996 - Mel'nichenko I.P. and Plaksa S.A. Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I, Ukr. Math. J., 48(11), 1717-1730.
DOI: 10.1007/BF02529493
1996 - Mel'nichenko I.P. and Plaksa S.A. Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. II, Ukr. Math. J., 48(12), 1916-1926.
DOI: 10.1007/BF02375377
1997 - Mel'nichenko I.P. and Plaksa S.A. Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. III, Ukr. Math. J., 49(2), 253-268.
DOI: 10.1007/BF02486440
2000 - Plaksa S.A. Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I, Ukr. Math. J., 52(4), 564–585.
DOI: 10.1007/BF02515397
2000 - Plaksa S.A. Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II, Ukr. Math. J., 52(6), 856–867.
DOI: 10.1007/BF02591780
2001 - Plaksa S.A. On integral representations of an axisymmetric potential and the Stokes flow function in domains of the meridian plane. I, Ukr. Math. J., 53(5), 726-743.
DOI: 10.1023/A:1012578200291
2001 - Plaksa S.A. On integral representations of an axisymmetric potential and the Stokes flow function in domains of the meridian plane. II, Ukr. Math. J., 53(6), 938-950.
DOI: 10.1023/A:1013351918523
2001 - Plaksa S.A. Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane, Ukr. Math. J., 53(12), 1976-1997.
DOI: 10.1023/A:1015486805984
2002 - Plaksa S.A. On the solution of the exterior Dirichlet problem for an axisymmetric potential, Ukr. Math. J., 54(12), 1982–1991.
DOI: 10.1023/A:1024073231378
2003 - Plaksa S.A. Dirichlet problem for the Stokes flow function in a simply connected domain of the meridian plane, Ukr. Math. J., 55(2), 241-281.
DOI: 10.1023/A:1025464312591
2003 - Plaksa S.A. Singular integral operators in spaces of oscillating functions on a rectifiable curve, Ukr. Math. J., 55(9), 1457-1471.
DOI: 10.1023/B:UKMA.0000018007.04762.eb
2005 - Plaksa S.A. Differentiation of singular integrals with piecewise-continuous density and boundary values of derivatives of a Cauchy-type integral, Ukr. Math. J., 57(2), 261-270.
DOI: 10.1007/s11253-005-0186-7
2006 - Vasil'eva Yu.V. and Plaksa S.A. Piecewise-continuous Riemann boundary value problem on a rectifiable curve, Ukr. Math. J., 58(5), 616-628.
DOI: 10.1007/s11253-006-0095-4
2009 - Grishchuk S.V. and Plaksa S.A. Integral representations of generalized axially symmetric potentials in a simply connected domain, Ukr. Math. J., 61(2), 195-213.
DOI: 10.1007/s11253-009-0209-x
2009 - Grishchuk S.V. and Plaksa S.A. Monogenic functions in a biharmonic algebra, Ukr. Math. J., 61(12), 1865-1876.
DOI: 10.1007/s11253-010-0319-5
2009 - Герус О.Ф., Плакса С.А. Формула Ньютона–Лейбница и квазианалитические классы функций на кривых, Зб. праць Ін-ту математики НАН України, 2009, 6 (1), 73–81.
2010 - Shpakivskyi V.S. and Plaksa S.A. Integral theorems and a Cauchy formula in a commutative three-dimensional harmonic algebra, Bulletin de la Societe des Sciences et des Lettres de Lodz, 60(2), 47-54
2011 - Plaksa S.A. and Shpakivskyi V.S. Constructive description of monogenic functions in a harmonic algebra of the third rank, Ukr. Math. J., 62(8), 1078-1091.
DOI: 10.1007/s11253-011-0427-x
2011 - Plaksa S.A., Gryshchuk S.V. and Shpakivskyi V.S. Commutative algebras of monogenic functions associated with classic equations of mathematical physics, Contemporary Mathematics, 553, Amer. Math. Soc., Providence, 245-258.
DOI: 10.1090/conm/553
2011 - Plaksa S.A. and Kudjavina Yu.V. Riemann boundary value problem on an open Jordan rectifiable curve. I, Ukr. Math. J., 62(11), 1511-1522.
DOI: 10.1007/s11253-011-0465-4
2011 - Plaksa S.A. and Kudjavina Yu.V. Riemann boundary value problem on an open Jordan rectifiable curve. II, Ukr. Math. J., 62(12), 1659-1671.
DOI: 10.1007/s11253-011-0480-5
2012 - Plaksa S.A. and Shpakivskyi V.S. Limiting values of Cauchy type integral in a three-dimensional harmonic algebra, Eurasian Math. J., 3(2), 120-128
2012 - Plaksa S.A. and Shpakivskyi V.S. A description of spatial potential fields by means of monogenic functions in infinite-dimensional spaces with a commutative multiplication, Bulletin de la Societe des Sciences et des Lettres de Lodz, 62(2), 55-65
2013 - Plaksa S.A. and Pukhtaievych R.P. Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical, Ukr. Math. J., 65(5), 740-751.
DOI: 10.1007/s11253-013-0810-x
2013 - Plaksa S.A. and Shpakivskyi V.S. On the logarithmic residues of monogenic functions in a three-dimensional harmonic algebra with two-dimensional radical, Ukr. Math. J., 65(7), 1079-1086.
DOI: 10.1007/s11253-013-0843-1
2013 - Gryshchuk S.V. and Plaksa S.A. Basic properties of monogenic functions in a biharmonic plane, Contemporary Mathematics, 591, Amer. Math. Soc., Providence, 127-134.
DOI: 10.1090/conm/591
2013 - Gryshchuk S.V. and Plaksa S.A. Schwartz-type integrals in a biharmonic plane, Intern. J. of Pure and Applied Math., 83(1), 193-211.
DOI: 10.12732/ijpam.v83i1.13
2013 - Plaksa S.A. and Shpakivskyi V.S. On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical, Annales Universitatis Mariae Curie-Sklodowska. Sectio A, 67(1), 57-64
2014 - Plaksa S.A. and Shpakivskyi V.S. Cauchy theorem for a surface integral in commutative algebras, Complex Variables and Elliptic Equations, 59(1), 110-119.
DOI: 10.1080/17476933.2013.845178
2014 - Plaksa S.A. and Pukhtaievych R.P. Monogenic functions in a finite-dimensional semi-simple commutative algebra, An. St. Univ. Ovidius Constanta, 22(1): 221-235.
DOI: 10.2478/auom-2014-0018
2014 - Plaksa S.A. and Shpakivskyi V.S. Monogenic functions in a finite-dimensional algebra with unit and radical of maximal dimensionality, Journal of Algerian Mathematical Society, 1, 1-13.
2014 - Плакса С.А. і Пухтаєвич Р.П. Конструктивний опис моногенних функцій в скінченновимірній напівпростій комутативній алгебрі , Доп. НАН України, № 1, 14-21.
DOI: 10.15407/dopovidi2014.01.014
2015 - Пухтаєвич Р.П. і Плакса С.А. Інтергал типу Коші по прямій в тривимірній гармонічній алгебрі з одновимірним радикалом Зб. Пр. Інст. Мат. НАН Укр., 12(3), 212-219.
2016 - Gryshchuk S.V. and Plaksa S.A. Monogenic functions in the biharmonic boundary value problem, Mathematical Methods in the Applied Sciences, 39(11), 2939-2952.
DOI: 10.1002/mma.3741
2017 - Plaksa S.A. and Shpakivskyi V.S. An extension of monogenic functions and spatial potentials, Lobachevskii Journal of Mathematics, 38(2), 330-337.
DOI: 10.1134/S1995080217020160
2017 - Gryshchuk S.V. and Plaksa S.A. A Schwartz-type boundary value problem in a biharmonic plane, Lobachevskii Journal of Mathematics, 38(3), 435-442.
DOI: 10.1134/S199508021703012X
2017 - Gryshchuk S.V. and Plaksa S.A. Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations, Open Mathematics, 15(1), 374-381.
DOI: 10.1515/math-2017-0025
2017 - Pukhtaievych R. and Plaksa S. On logarithmic residue of monogenic functions in a three-dimensional commutative algebra with one-dimensional radical, An. St. Univ. Ovidius Constanta, 25(3), 167-182.
DOI: 10.1515/auom-2017-0043
2018 - Plaksa S.A. and Shpakivskyi V.S. Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication, Bulletin de la Societe des Sciences et des Lettres de Lodz, 68(2), 25-36
2019 - Plaksa S.A. A functionally-analytic method for modelling axial-symmetric flows of ideal fluid, Demonstratio Mathematica, 52(1), 213-224.
DOI: 10.1515/dema-2019-0018
2019 - Pukhtaievych R. and Plaksa S. Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical, Monatsh. Math, 189(3), 523-548.
DOI: 10.1007/s00605-019-01288-4
2019 - Plaksa S.A. Monogenic functions in commutative algebras associated with classical equations of mathematical physics, J. Math. Sci., 242(3), 432-456.
DOI: 10.1007/s10958-019-04488-3
2020 - Plaksa S.A. Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line, J. Math. Sci., 244(1), 36-46.
DOI: 10.1007/s10958-019-04602-5
2021 - Gryshchuk S.V. and Plaksa S.A. Schwartz-type boundary-value problems for canonical domains in a biharmonic plane, J. Math. Sci., 259(1), 37-52.
DOI: 10.1007/s10958-021-05599-6
2022 - Tkachuk M.V. and Plaksa S.A. An analog of the Menchov-Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra, Ukr. Math. J., 73(8), 1299-1308.
DOI: 10.1007/s11253-022-01991-w
2023 - Gryshchuk, S.V. and Plaksa S.A. Biharmonic problem in an angle and monogenic functions, Ukr. Math. J., 74(11), 1686-1700.
DOI: 10.1007/s11253-023-02164-z
2023 - Plaksa S.A. Monogenic functions and harmonic vectors, Proceedings of the International Geometry Center, 16(1), 59-76.
DOI: 10.15673/tmgc.v16i1.2385
2024 - Plaksa S.A. On continuous extension of the Cauchy-type integral with parameter-dependent density to the boundary of the domain, Ukr. Math. J., 76(3), 522–527.
DOI: 10.1007/s11253-024-02335-6