Department of Complex Analysis and Potential Theory

Serhii Gryshchuk

Candidate of Science (Ph.D. of Physics and Mathematics)

Senior researcher,

Institute of Mathematics, Kyiv,
National Academy of Sciences of Ukraine

see my Profile (using free publications) in Research Gate

  • 2013 - Present - Senior Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • 2012 – 2013 - Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • 2010 - 2012 - Postdoctoral Researcher, University of Padova, Department of Mathematics, Post-doc at the University of Padova, Italy, (Ital.: proggetto dal titolo "Problemi di perturbazioni singolare per equazioni e sistemi di equazioni differenziali", Engl. Tr. PROJECT "Problems of singular perturbations for differential equations and systems of differential equations" (scientific consultant - Massimo Lanza de Cristoforis, Ordinary Professor of the University of Padova, Department of Mathematics)
  • 2007 - 2010 - Junior Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • the 1-st September 2009 - the 1-st August 2010
    Teaching: Zhytomyr State University, Zhytomyr 1008, Ukraine,
    Title and Main Duties:Senior Lecturer (at the Department of Mathematical Analysis), to teach lectures and give seminars on functional analysis and the probability theory, to teach the main course for master students "Elements of integral equations and equations with partial derivatives'', research work, research work with students. Note: this was not a main work, it was a complementary work, a main work in this period was in Kyiv at the Institute of Mathematics of the National Academy of Sciences of Ukraine.
  • 2004 - 2007 - Ph.D. student (by guidance of Prof. S. A. Plaksa), Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • Complex and hypercomplex analysis
  • Analytic function theory of complex variable
  • Monogenic function theory in Banach algebras
  • Boundary problems theory for monogenic functions
  • Boundary value problems for monogenic functions
  • Boundary value problems of mathematical physics
  • Hypercomplex function methods in Elasticity
  • 1999 – 2004 - Master of science (Mathematics and basics of IT), Zhytomyr State University, Faculty of Physics and Mathematics, Master of science, diploma with honors;
  • 2004 - 2007 - Post-graduate studies (under the guidance of Professor S. A. Plaksa), Institute of Mathematics of the Ukrainian Academy of Sciences
  • 2019 : Gryshchuk S.V , Monogenic functions in commutative complex algebras of the second rank and the Lame equilibrium system for some class of plane orthotropy [Russian, English summary] // Ukrainian Mathematical Bulletin. - 2019. - 16, No. 3. - pp. 345-356.
  • 2019 : Gryshchuk S. V., Сommutative сomplex algebras of the second rank with unity and some cases of plane orthotropy. I // Ukr. Mat. Zh. - 2019. - 70, No. 8. - pp. 1058-1071.
    See
  • 2019 : Gryshchuk S. V. Сommutative сomplex algebras of the second rank with unity and some cases of plane orthotropy. II // Ukr. Mat. Zh. - 2019. - 70, No. 10. - pp. 1594–1603.
    See
  • 2018 : Gryshchuk S. V. On some cases of plane orthotropy // Bulletin de la Société des Sciences et des Lettres de Łódź, 2018.– LXVIII, No. 2. – pp. 71-76.
  • 2017 : Gryshchuk S. V., Plaksa S. A. A Schwartz-Type Boundary Value Problem in a Biharmonic Plane // Lobachevskii Journal of Mathematics. – 2017. – 38, No.3. – pp. 435-442.
    See
  • 2017 : Serhii V. Gryshchuk, Sergiy A. Plaksa , Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations // Open Math. – 2017. – 15, No.1. – pp. 374 - 381.
    See
  • 2016 : Gryshchuk S.V., Plaksa S.A., Monogenic functions in the biharmonic boundary value problem // Mathematical Methods in the Applied Sciences. - 2016. - 39, No. 11. - 2939–2952.
    DOI: 10.1002/mma.3741 See
  • 2015 : Gryshchuk S. V. Hypercomplex monogenic functions of the biharmonic variable in some problems of plane elasticity theory [Ukrainian, English Summary] // Dopov. Nac. Akad. Nauk Ukr. /Mat. Pryr. Tekh. Nauky/. – 2015. – No. 6. – pp. 7-12.
    See
  • 2014 : Gryshchuk S. and Lanza de Cristoforis M. Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach // Mathematical Methods in the Applied Sciences. – 2014. – 37, No. 12. – pp. 1755 – 1771.
  • 2013 : Gryshchuk S., Rogosin S. Effective Conductivity of 2D Disk - Ring Composite Material // Mathematical Modelling and Analysis. – 18, No. 3. – 2013. – P. 386 – 394.
    See
  • 2013 : Gryshchuk S.V., Plaksa S.A. Schwartz-type integrals in a biharmonic plane // International Journal of Pure and Applied Mathematics. – 83, No.1. – 2013. – pp. 193–211.
    See
  • 2009 : Gryshchuk S.V., Plaksa S.A. Monogenic functions in a biharmonic plane // Dopov. Nats. Akad. Nauk Ukr., Mat. /Pryr. Tekh. Nauky/. - 2009. - No. 12. – pp. 13 – 20.
    See
  • 2009 : Grishchuk S.V., Plaksa S.A. Monogenic functions in a biharmonic algebra // Ukr. Mat. Jh.. - 2009. - 61, No. 12, pp. 1587-1596 [Russian, English Summary];
    English translation (Springer) in Ukr. Math.J. - 61, No. 12 (2009), 1865-1876.
    Cited in databases: zbMATH (Zbl 1224.46098)
  • 2009 : Grishchuk S.V., Plaksa S.A. Integral representations of generalized axially symmetric potentials in a simply connected domain // Ukr. Mat. Jh. – 2009. – 61, No. 2. – pp. 160 – 177 [Russian, English Summary].
    English translation (Springer) in Ukr. Math.J. 61, No.2 (2009), pp. 195-213.
    Cited in databases: zbMATH (Zbl 1224.31003).
  • 2006 : Gryshchuk S.V., Plaksa S.A. Expressions of solutions of the Euler-Poisson-Darboux equation via the components of hypercomplex analytic functions // Dopov. Nats. Akad. Nauk Ukr., Mat. /Pryr. Tekh. Nauky/. – 2006. – No. 8. – pp. 18 – 24 [Ukrainian, English Summary].
  • 2019 : Gryshchuk S. V., Plaksa S. A. Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra, , pp. 193-211. In: Rogosin S., Celebi A. (eds) Analysis as a Life, Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday / Trends in Mathematics /, Birkha\"{u}ser, 2019, 318 p.
    See
  • 2018 : Gryshchuk S. V. Monogenic functions in two dimensional commutative algebras to equations of plane orthotropy // Proceedings of the Institute of Applied Mathematics and Mechanics of NAS of Ukraine.- 2018. - 32. - Slovyansk: “TexPrintCentre”. - pp. 18 - 29.
    See
  • 2017 : Gryshchuk S. V. One-dimensionality of the kernel of the system of Fredholm integral equations for a homogeneous biharmonic problem // Zb. Pr. Inst. Mat. NAN Ukr. – 2017. – 14, No. 1. – pp. 128-139 [Ukrainian, English summary].
    See
    See English Review in ZbMATH
  • Klishchuk, B. A.; Osipchuk, T. M.; Tkachuk, M. V.; Gryshchuk, S. V.; Bakhtin, O. K. Zelins’kyĭ Yuriĭ Borysovych: on the occasion of his 70th birthday. (Ukrainian) Zbl 1389.01014
  • 2017 : Klishchuk B. A.; Osipchuk T. M.; Tkachuk M. V.; Gryshchuk S. V.; Bakhtin, O. K. Zelins’kyĭ Yuriĭ Borysovych: on the occasion of his 70th birthday. (Ukrainian) //Zb. Pr. Inst. Mat. NAN Ukr. - Kyiv.: Institute of Mathematics of the Ukrainian Academy of Sciences, 2017. - 14, No. 1. - pp. 9 - 24.
    See.
  • 2016 : Gryshchuk S. V. B-valued monogenic functions and their applications to boundary value problems in displacements of 2-D Elasticity,in: "Analytic Methods of Analysis and Differential Equations: AMADE 2015'', S. V. Rogosin and M. V. Dubatovskaya, Belarusian State University, Minsk, Belarus (Eds.), Cambridge Scientic Publishers Ltd, 45 Margett Street, Cottenham, Cambridge CB24 8QY, UK, 2016, ISBN (paperback) 978-1-908106-56-8, 37 - 47.
  • 2015 : Gryshchuk S. V. Effective Conductivity of Ellipse-Elliptical Ring Composite // Zb. Pr. Inst. Mat. NAN Ukr. – 2015. – 12, No. 3. - pp. 121-132.
  • 2014 : Gryshchuk S. Power series and conformal mappings in one boundary value problem for monogenic functions of the biharmonic variable // Zb. Pr. Inst. Mat. NAN Ukr. – 2014. – 11, No. 1. – 2014. – pp. 93 - 107. [in Russian, English Summary];
    Cited in databases:zbMATH (Zbl 1240.31004). See
  • 2013 : Gryshchuk S. V. Power series in a boundary value problem for monogenic functions of the biharmonic variable in a disk // Zb. Pr. Inst. Mat. NAN Ukr. – 2013. – 10, No. 4-5. – 2013. – pp. 432 – 441 [in Russian, English Summary].
  • 2013 : Gryshchuk S.V., Plaksa S.A. Basic Properties of Monogenic Functions in a Biharmonic Plane // in: "Complex Analysis and Dynamical Systems V'', Contemporary Mathematics, Vol. 591, Amer. Math. Soc., Providence, RI. – 2013. – P. 127 –134.
  • 2012 : Gryshchuk S.V., Plaksa S.A. Biharmonic Schwartz integral for a half-plane // in: PROGRESS IN ANALYSIS: Proc. of the 8th Congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, 22 – 27 August 2011, Conference Proceedings, 1, People's Friendship University of Russia, Moscow.– 2012. – P. 93 – 99.
  • 2012 : Gryshchuk S., Lanza de Cristoforis M. Asymptotic behaviour of the energy integral of simple eigenfunctions for the Steklov problem in a domain with a small hole. A functional analytic approach // Zb. Pr. Inst. Mat. NAN Ukr.– 2012. – 9, № 2. – P. 113 – 121. See
  • 2012 : Gryshchuk S., Lanza de Cristoforis M.Singular Perturbation of Simple Steklov Eigenvalues // Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics (ICNAAM 2012), Kos, Greece, 19-25th of September 2012, AIP Conference Proceedings vol. 1479, American Institute of Physics, Melville, NY. – 2012. – P. 700 – 703.
    See
  • 2011 : Plaksa S.A., Gryshchuk S.V., Shpakivskyi V.S. Algebras of monogenic functions associated with classic equations of mathematical physic // in: "Complex Analysis and Dynamical Systems IV'', Contemporary Mathematics. – 2011. – 553, Amer. Math. Soc., Providence, RI. – P. 245 – 258.
  • 2010 : Gryshchuk S.V., Plaksa S.A. On logarithmic residue of monogenic functions of biharmonic variable // Zb. Pr. Inst. Mat. NAN Ukr. – 2010. – 7, No. 2. – pp. 227 – 234 [Russian, English Summary].
  • 2006 : Grishchuk S.V. About continuous continuation generalized of axial-symmetriс potentials to the boundary of the domain // Zb. Pr. Inst. Mat. NAN Ukr. – 2006. – 3, No. 4. – pp. 347 – 357 [Russian, English Summary].
  • 2005 : Gryshchuk S.V., Plaksa S.A. On construction of generalized axial-symmetric potentials by means components of hypercomplex analytic functions // Zb. Pr. Inst. Mat. NAN Ukr. – 2005. – 2, No. 3. – С. 67 – 83 [Russian, English Summary].
  • 2019 : Gryshchuk S.V. {B}_{0}-valued monogenic functions to the theory of plane anisotropy // ArXiv preprint / arXiv:1901.05882v1 [math.AP] / (2019), 11 pages.
  • 2016 : Gryshchuk S.V. B-valued monogenic functions and their applications to boundary value problems in displacements of 2-D Elasticity //ArXiv preprint /arXiv:1601.01626v1 [math.AP]/, Analysis of PDEs = math.AP [math.CV],(2016), 12 pages.
  • 2015 : Gryshchuk S.V., Plaksa S.A. Monogenic functions in the biharmonic boundary value problem // ArXiv preprint / arXiv:1505.02518v1 [math.AP]/, (2015), 30 p.
    DOI: 10.13140/RG.2.1.4113.2961 (ResearchGate).
  • 2012 : Gryshchuk S.V., Plaksa S.A. Schwartz-type integrals in a biharmonic plane // ArXiv preprint /arXiv:1202.0993vl [math.CV], (2012), 11 p.
    on-line version
  • 2007 : Gryshchuk S.V., Plaksa S.A Integral expressions of generalized axial-symmetric potentials, in: Boundary tasks for potential fields, Preprint No. 2007.2, Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv (2007), 32 - 59 (in Russian).
  • 2005<> International Workshop on Free Boundary Flows and Related Problems of Analysis (Kyiv, Ukraine, 2005);
  • 2007<> Bogolubov Readings 2007 Dedicated to Yu.A. Mitropolskii on the Occasion of His 90-th Birthday (Zhytomyr-Kyiv, Ukraine, 2007);
  • 2008<> International Conference "ANALYSIS AND TOPOLOGY", (Lviv, Ukraine, 2008);
  • 2009<> International Conference "ANALYTIC METHODS OF MECHANICS AND COMPLEX ANALYSIS" dedicated to N.A. Kilchevskii and V.A. Zmorovich on the occasion of their birthday centenary (Kyiv, Ukraine, 2009);
  • 2011<> The 5th International Conference "Complex Analysis and Dynamical Systems" (Acco, Israel, 2011);
  • 2011<> The 8th International ISAAC Congress (Moscow, Russia, 2011);
  • 2012<> International Scientific Seminar "Analytic Methods of Analysis and Differential Equations" (Minsk, Belarus 2012);
  • 2013<> The 9th International ISAAC Congress (Krakow, Poland, 2013);
  • 2013<> International Conference "Complex Analysis, Potential Theory and Applications'' dedicated to memory of professor P.M. Tamrazov (Kyiv, Ukraine 2013);
  • 2013<> Cremean International Mathematical Conference (Sudak, Ukraine, 2013);
  • 2014<> International Conference “Differential Equations, Computations, Function Theory and Mathematical Methods of Mechanics” devoted to the 100th Anniversaryt of correspondent member of NAtional Academy of Ukraine Polojyii G. M. (Kyiv, Ukraine, 2014);
  • 2015<> Vth Ukrainian scientific conference "Modern Problems of Probability Theory and Mathematical Analysis '', Vorokhta, Ivano-Frankivsk Oblast, Ukraine, 25 February - 1 March 2015);
  • 2015<> XIIІth International Scientic - Practrical Conference of Students, Postgraduates and Young Scientists «Shevchenkivska Vesna 2015: Mathematics and Mechanics» (Kyiv, Ukraine, 2015);
  • 2015<> International Conference of Young Mathematiciants (Kyiv, Ukraine, 2015);
  • 2015<> «Hypercomplex Seminar 2015: (Hyper) Complex and Dynamical Processes; Modelling and Simulations» (Będlewo, Poland, July 2-9 2015);
  • 2015<> X-th International summer school "Algebra, Topology, Analysis'' (Odessa, Ukraine, August 3 - 15 2015);
  • 2016<> VI-th Ukrainian scientific conference "Modern Problems of Probability Theory and Mathematical Analysis" (Vorokhta, Ivano-Frankivsk Oblast, Ukraine, 24 - 27 February 2016);
  • 2016<> Hypercomplex Seminar 2016: (Hyper)Complex and Harmonic Dynamical Modelling vs. Special Ternary or Quaternary Nanostructures and Related Problems, Mathematical Conference Center at Bedlewo (Poland), June 30 - July 7 (1-hour report, Chairman of the section);
  • 2016<> International Conference on Differential Equations Dedicated to the 110th Anniversary of Ya.B. Lopatynsky (Lviv, Ukraine, September 20-24 2016);
  • 2016<> 5th International Conference for Young Scientists On Differential Equations and Applications dedicated to Yaroslav Lopatynsky (Kyiv, Ukraine, 9-11 November, 2016);
  • 2017<> VII-th Ukrainian scientific conference "Modern Problems of Probability Theory and Mathematical Analysis" (Vorokhta, Ivano-Frankivsk Oblast, Ukraine, 22 - 25 February 2017);
  • 2017<> Hypercomplex Seminar 2017: (Hyper)Complex and Harmonic Dynamical Modelling: Topology in Physics of Dynamical Systems and Molecular Nanoengines (30 years of the direct cooperation agreement Łódź [University and Łódź Society of Sciences and Arts] – Kyiv [National Academy of Sciences of Ukraine]), Mathematical Conference Center at Będlewo (Poland), July 22 - July 29 2017 (chairperson of the section);
  • 2017<> IV International Scientific Conference "Modern Problems of Mechanics", Kyiv, Ukraine, 28 - 29 August 2017, Taras Shevchenko National University of Kyiv;
  • 2018<> VIII Всеукраїнська наукова конференція «Сучасні проблеми теорії ймовірностей та математичного аналізу» (смт. Ворохта, Івано-Франківська область, Україна, 27 лютого - 2 березня 2018 року);
  • 2018<> Hypercomplex Seminar 2018: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications, Mathematical Conference Center at Bedlewo (Poland), July 22-July29 2018 (chairperson of the section);
  • 2018<> International scientific conference “Modern problems of mathematics and its application in natural sciences and information technologies”, dedicated to the 50th anniversary of the Faculty of Mathematics and Informatics September 17-19, 2018, Chernivtsi, Ukraine;
  • 2018<>A.A.Kilbas (1948 - 2010), September 17 - 21, 2018, Minsk, Belarus;
  • 2019<> IX-th Ukrainian scientific conference ``Modern Problems of Probability Theory and Mathematical Analysis'', 25 February - 1 March 2019 (Vorokhta, Ivano-Frankivsk Oblast, Ukraine);
  • 2019<> Final AMMODIT (Marie Curie RISE project "Approximation Methods for Molecular Modelling and Diagnosis Tools") Conference "Mathematics for Life Sciences" (Kyiv, Ukraine, March 18-22 2019);
  • 2019<> 12th International ISAAC Congress (July 29 - August 2 2019, Aveiro, Portugal);
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  • Russian - Advanced
  • English - Upper Intermediate