Plaksa Sergii
Publications
(total number is more than 100):
1. Mel’nichenko I.P., Plaksa S.A. ”Commutative algebras and spatial potential fields”, Kiev, Institute of Mathematics of the National Academy of Sciences of Ukraine, 2008, 230 p. (in Russian).
2. Mel’nichenko I.P., Plaksa S.A. ”Potential fields with axial symmetry and algebras of monogenic functions of a vector variable”, Ukr. Math. J., Vol. 48, No. 11, 1717–1730 (1996); Vol. 48, No. 12, 1916–1926 (1996); Vol. 49, No. 2, 253–268 (1997).
3. Plaksa S. ”Algebras of hypercomplex monogenic functions and axial-symmetrical potential fields”, in: Proceedings of the Second ISAAC Congress, Fukuoka, August 16 – 21, 1999, Kluwer Academic Publishers, Vol. 1 (2000), 613–622.
4. Plaksa S. ”Boundary properties of axial-symmetrical potential and Stokes flow function”, in: Finite or Infinite Dimensional Complex Analysis. Lecture Notes in Pure and Applied Mathematics. Marcel Dekker Inc., 214 (2000), 443–455.
5. Plaksa S. ”Singular and Fredholm integral equations for Dirichlet boundary problems for axial-symmetric potential fields”, in: Factotization, Singular Operators and Related Problems: Proc. of Conference in Honour of Prof. Georgui Litvinchuk, Funchal, January 28 – February 1, 2002, Kluwer Academic Publishers (2003), 219–235.
6. Plaksa S. ”On integral representations of an axisymmetric potential and the Stokes flow function in domains of the meridian plane”, Ukr. Math. J., Vol. 53, No. 5, 726–743 (2001); Vol. 53, No. 6, 938–950 (2001).
7. Plaksa S. ”Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane”, Ukr. Math. J., Vol. 53, No. 12, 1976–1997 (2001).
8. Plaksa S. ”On an outer Dirichlet problem solving for the axial-symmetric potential”, Ukr. Math. J., Vol. 54, No. 12, 1634–1641 (2002).
9. Plaksa S. ”Dirichlet problem for the Stokes flow function in a simply connected domain of the meridian plane”, Ukr. Math. J., Vol. 55, No. 2, 241–281 (2003).
10. Mel’nichenko I.P., Plaksa S.A. ”Outer boundary problems for the Stokes flow function and steady streamline along axial-symmetric bodies”, in: Complex Analysis and Potential Theory, Kiev, Institute of Mathematics of the National Academy of Sciences of Ukraine (2003), 82–91.
11. Mel’nichenko I.P., Plaksa S.A. ”Commutative algebra of hypercomplex analytic functions and solutions of elliptic equations degenerating on an axis”, in: Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Vol. 1 (2004), No. 3, 144–150.
12. Plaksa S. ”Commutative algebras of hypercomplex monogenic functions and solutions of elliptic type equations degenerating on an axis”, in: More progress in analysis: Proc. of 5th International ISAAC Congress, Catania, July 25 – 30, 2005, World Scientific (2009), 977–986.
13. Grishchuk S.V., Plaksa S.A. ”On construction of generalized axial-symmetric potentials by means components of hypercomplex analytic functions”, in: Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Vol. 2 (2005), No. 3, 67–83.
14. Grishchuk S.V., Plaksa S.A. ”Integral representations of generalized axially symmetric potentials in a simply connected domain”, Ukr. Math. J., Vol. 61, No. 2, 195–213 (2009).
15. Plaksa S. ”Harmonic commutative Banach algebras and spatial potential fields”, in: Complex Analysis and Potential Theory: Proc. of Conference Satellite to ICM-2006, Gebze Institute of Technology, Turkey, September 8 – 14, 2006, World Scientific (2007), 166–173.
16. Plaksa S. ”An infinite-dimensional commutative Banach algebra and spatial potential fields”, in: Further progress in analysis: Proc. of 6th International ISAAC Congress, Ankara, August 13 – 18, 2007, World Scientific (2009), 268–277.
17. Grishchuk S.V., Plaksa S.A. ”Monogenic functions in a biharmonic algebra”, Ukr. Math. J., Vol. 61, No. 12, 1865–1876 (2009).
18. Plaksa S.A., Shpakivskyi V.S. ”Constructive description of monogenic functions in a harmonic algebra of the third rank”, Ukr. Math. J., Vol. 62, No. 8, 1078–1091 (2010).
19. Shpakivskyi V.S., Plaksa S.A., ”Integral theorems in a commutative three-dimensional harmonic algebra”, in: Progress in analysis and its applications: Proc. of 7th International ISAAC Congress, London, July 13 – 18, 2009, World Scientific (2010), 977–986.
20. Plaksa S.A., ”Singular integral operators in spaces of oscillating functions on a rectifiable curve”, Ukr. Math. J., Vol. 55, No. 9, 1457–1471 (2003).
21. Plaksa S. ”Differentiation of singular integrals with piecewise continuous density”, in: Analytic Methods of Analysis and Differential Equations. Cottenham: Cambridge Scientific Publishers (2006), 199–208.
22. Vasil’eva Yu.V., Plaksa S.A. ”Piecewise-continuous Riemann boundary value problem on a rectifiable curve”, Ukr. Math. J., Vol. 58, No. 5, 616–628 (2006).
23. Plaksa S.A., Kudjavina Yu.V., ”Riemann boundary value problem on an open Jordan rectifiable curve”, Ukr. Math. J., Vol. 62, No. 11, 1511–1522 (2010); Vol. 62, No. 12, 1659–1671 (2010).
1. Mel’nichenko I.P., Plaksa S.A. ”Commutative algebras and spatial potential fields”, Kiev, Institute of Mathematics of the National Academy of Sciences of Ukraine, 2008, 230 p. (in Russian).
2. Mel’nichenko I.P., Plaksa S.A. ”Potential fields with axial symmetry and algebras of monogenic functions of a vector variable”, Ukr. Math. J., Vol. 48, No. 11, 1717–1730 (1996); Vol. 48, No. 12, 1916–1926 (1996); Vol. 49, No. 2, 253–268 (1997).
3. Plaksa S. ”Algebras of hypercomplex monogenic functions and axial-symmetrical potential fields”, in: Proceedings of the Second ISAAC Congress, Fukuoka, August 16 – 21, 1999, Kluwer Academic Publishers, Vol. 1 (2000), 613–622.
4. Plaksa S. ”Boundary properties of axial-symmetrical potential and Stokes flow function”, in: Finite or Infinite Dimensional Complex Analysis. Lecture Notes in Pure and Applied Mathematics. Marcel Dekker Inc., 214 (2000), 443–455.
5. Plaksa S. ”Singular and Fredholm integral equations for Dirichlet boundary problems for axial-symmetric potential fields”, in: Factotization, Singular Operators and Related Problems: Proc. of Conference in Honour of Prof. Georgui Litvinchuk, Funchal, January 28 – February 1, 2002, Kluwer Academic Publishers (2003), 219–235.
6. Plaksa S. ”On integral representations of an axisymmetric potential and the Stokes flow function in domains of the meridian plane”, Ukr. Math. J., Vol. 53, No. 5, 726–743 (2001); Vol. 53, No. 6, 938–950 (2001).
7. Plaksa S. ”Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane”, Ukr. Math. J., Vol. 53, No. 12, 1976–1997 (2001).
8. Plaksa S. ”On an outer Dirichlet problem solving for the axial-symmetric potential”, Ukr. Math. J., Vol. 54, No. 12, 1634–1641 (2002).
9. Plaksa S. ”Dirichlet problem for the Stokes flow function in a simply connected domain of the meridian plane”, Ukr. Math. J., Vol. 55, No. 2, 241–281 (2003).
10. Mel’nichenko I.P., Plaksa S.A. ”Outer boundary problems for the Stokes flow function and steady streamline along axial-symmetric bodies”, in: Complex Analysis and Potential Theory, Kiev, Institute of Mathematics of the National Academy of Sciences of Ukraine (2003), 82–91.
11. Mel’nichenko I.P., Plaksa S.A. ”Commutative algebra of hypercomplex analytic functions and solutions of elliptic equations degenerating on an axis”, in: Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Vol. 1 (2004), No. 3, 144–150.
12. Plaksa S. ”Commutative algebras of hypercomplex monogenic functions and solutions of elliptic type equations degenerating on an axis”, in: More progress in analysis: Proc. of 5th International ISAAC Congress, Catania, July 25 – 30, 2005, World Scientific (2009), 977–986.
13. Grishchuk S.V., Plaksa S.A. ”On construction of generalized axial-symmetric potentials by means components of hypercomplex analytic functions”, in: Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Vol. 2 (2005), No. 3, 67–83.
14. Grishchuk S.V., Plaksa S.A. ”Integral representations of generalized axially symmetric potentials in a simply connected domain”, Ukr. Math. J., Vol. 61, No. 2, 195–213 (2009).
15. Plaksa S. ”Harmonic commutative Banach algebras and spatial potential fields”, in: Complex Analysis and Potential Theory: Proc. of Conference Satellite to ICM-2006, Gebze Institute of Technology, Turkey, September 8 – 14, 2006, World Scientific (2007), 166–173.
16. Plaksa S. ”An infinite-dimensional commutative Banach algebra and spatial potential fields”, in: Further progress in analysis: Proc. of 6th International ISAAC Congress, Ankara, August 13 – 18, 2007, World Scientific (2009), 268–277.
17. Grishchuk S.V., Plaksa S.A. ”Monogenic functions in a biharmonic algebra”, Ukr. Math. J., Vol. 61, No. 12, 1865–1876 (2009).
18. Plaksa S.A., Shpakivskyi V.S. ”Constructive description of monogenic functions in a harmonic algebra of the third rank”, Ukr. Math. J., Vol. 62, No. 8, 1078–1091 (2010).
19. Shpakivskyi V.S., Plaksa S.A., ”Integral theorems in a commutative three-dimensional harmonic algebra”, in: Progress in analysis and its applications: Proc. of 7th International ISAAC Congress, London, July 13 – 18, 2009, World Scientific (2010), 977–986.
20. Plaksa S.A., ”Singular integral operators in spaces of oscillating functions on a rectifiable curve”, Ukr. Math. J., Vol. 55, No. 9, 1457–1471 (2003).
21. Plaksa S. ”Differentiation of singular integrals with piecewise continuous density”, in: Analytic Methods of Analysis and Differential Equations. Cottenham: Cambridge Scientific Publishers (2006), 199–208.
22. Vasil’eva Yu.V., Plaksa S.A. ”Piecewise-continuous Riemann boundary value problem on a rectifiable curve”, Ukr. Math. J., Vol. 58, No. 5, 616–628 (2006).
23. Plaksa S.A., Kudjavina Yu.V., ”Riemann boundary value problem on an open Jordan rectifiable curve”, Ukr. Math. J., Vol. 62, No. 11, 1511–1522 (2010); Vol. 62, No. 12, 1659–1671 (2010).