Пухтаєвич Роман Петрович
Публікації
2022 - Dalla Riva M., Luzzini P., Musolino P., and Pukhtaievych R., Dependence of effective properties upon regular perturbations, Mechanics and Physics of Structured Media, 2022, p. 271-301. DOI: 10.1016/B978-0-32-390543-5.00019-0
2022 - Luzzini P., Musolino P., and Pukhtaievych R. Real analyticity of periodic layer potentials upon perturbation of the periodicity parameters and of the support, Trends in Mathematics Current Trends in Analysis, its Applications and Computation, 2022, p. 191-199. DOI: 10.1007/978-3-030-87502-2_19
2019 - Luzzini P., Musolino P., and Pukhtaievych R., Shape analysis of the longitudinal flow through a periodic array of cylinders, J. Math. Anal. Appl., 477(2): 1369-1395, 2019.
DOI: 10.1016/j.jmaa.2019.05.017
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, 2019.
DOI: 10.1007/s00605-019-01288-4
2019 - Dalla Riva, M., Musolino, P., and Pukhtaievych R., Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface, Asymptotic Analysis, 111(3-4): 217-250, 2019.
DOI: 10.3233/ASY-181495
2018 - Pukhtaievych R., Effective conductivity of a periodic dilute composite with perfect contact and its series expansion, Z. Angew. Math. Phys., 69-83, 2018.
DOI: 10.1007/s00033-018-0976-z
2018 - Pukhtaievych R., Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain, Math. Methods Appl. Sci., 41(9): 3392-3413, 2018.
DOI: 10.1002/mma.4832
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, 2017. DOI: 10.1515/auom-2017-0043
2015 - Pukhtaievych R. P. and Plaksa S. A., The Cauchy type integral on the straight line in three-dimensional harmonic algebra with one-dimensional radical, Zb. Pr. Inst. Mat. NAN Ukr. 12(3), 2015, P. 212-219. (Ukrainian. English summary), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2015.
2014 - Plaksa S. A. and Pukhtaievych R. P., Monogenic functions in a three-dimensional harmonic commutative algebra, In T. Aliev, A. Golberg, and S. V. Rogosin, editors, Complex Analysis and Potential Theory with Applications, Proceedings of the 9th ISAAC Congress, Krakow, Poland, 5-9 August 2013, P. 148-155, Cambridge Scientific Publishers, Cottenham, UK, 2014.
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, 2014.
DOI: 10.2478/auom-2014-0018
2014 - Plaksa S. A. and Pukhtaievych R. P., Constructive description of monogenic functions in finite-dimensional semisimple commutative algebra, Dopov. Nac. akad. nauk Ukr., 1: 14-21, 2014. (Ukrainian. English summary).
DOI: 10.15407/dopovidi2014.01.014
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, 2013. DOI: 10.1007/s11253-013-0810-x
2013 - Пухтаєвич Р., Морногенні функції в тривимірній гармонічній напівпростій алгебрі, Зб. Пр. Інст. Мат. НАН Укр., 10(4-5), 2013, с. 352-361, Інститут математики Національної академії наук України, 2013
2012 - Пухтаєвич Р., Степенніе ряды и ряды Лорана в трьохмерной гармонической алгебре содномерным радикалом, Зб. Пр. Інст. Мат. НАН Укр., 9(2), 2012, P. 311-326. Інститут математики Національної академії наук України, 2012
2022 - Luzzini P., Musolino P., and Pukhtaievych R. Real analyticity of periodic layer potentials upon perturbation of the periodicity parameters and of the support, Trends in Mathematics Current Trends in Analysis, its Applications and Computation, 2022, p. 191-199. DOI: 10.1007/978-3-030-87502-2_19
2019 - Luzzini P., Musolino P., and Pukhtaievych R., Shape analysis of the longitudinal flow through a periodic array of cylinders, J. Math. Anal. Appl., 477(2): 1369-1395, 2019.
DOI: 10.1016/j.jmaa.2019.05.017
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, 2019.
DOI: 10.1007/s00605-019-01288-4
2019 - Dalla Riva, M., Musolino, P., and Pukhtaievych R., Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface, Asymptotic Analysis, 111(3-4): 217-250, 2019.
DOI: 10.3233/ASY-181495
2018 - Pukhtaievych R., Effective conductivity of a periodic dilute composite with perfect contact and its series expansion, Z. Angew. Math. Phys., 69-83, 2018.
DOI: 10.1007/s00033-018-0976-z
2018 - Pukhtaievych R., Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain, Math. Methods Appl. Sci., 41(9): 3392-3413, 2018.
DOI: 10.1002/mma.4832
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, 2017. DOI: 10.1515/auom-2017-0043
2015 - Pukhtaievych R. P. and Plaksa S. A., The Cauchy type integral on the straight line in three-dimensional harmonic algebra with one-dimensional radical, Zb. Pr. Inst. Mat. NAN Ukr. 12(3), 2015, P. 212-219. (Ukrainian. English summary), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2015.
2014 - Plaksa S. A. and Pukhtaievych R. P., Monogenic functions in a three-dimensional harmonic commutative algebra, In T. Aliev, A. Golberg, and S. V. Rogosin, editors, Complex Analysis and Potential Theory with Applications, Proceedings of the 9th ISAAC Congress, Krakow, Poland, 5-9 August 2013, P. 148-155, Cambridge Scientific Publishers, Cottenham, UK, 2014.
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, 2014.
DOI: 10.2478/auom-2014-0018
2014 - Plaksa S. A. and Pukhtaievych R. P., Constructive description of monogenic functions in finite-dimensional semisimple commutative algebra, Dopov. Nac. akad. nauk Ukr., 1: 14-21, 2014. (Ukrainian. English summary).
DOI: 10.15407/dopovidi2014.01.014
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, 2013. DOI: 10.1007/s11253-013-0810-x
2013 - Пухтаєвич Р., Морногенні функції в тривимірній гармонічній напівпростій алгебрі, Зб. Пр. Інст. Мат. НАН Укр., 10(4-5), 2013, с. 352-361, Інститут математики Національної академії наук України, 2013
2012 - Пухтаєвич Р., Степенніе ряды и ряды Лорана в трьохмерной гармонической алгебре содномерным радикалом, Зб. Пр. Інст. Мат. НАН Укр., 9(2), 2012, P. 311-326. Інститут математики Національної академії наук України, 2012