Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 223, Pages 79–83
DOI: https://doi.org/10.36535/0233-6723-2023-223-79-83 (Mi into1157) 		 
Well-posed boundary two-point problems for systems of partial differential equations

À. À. Makarov, I. G. Nikolenko

V. N. Karazin Kharkiv National University
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DOI: https://doi.org/10.36535/0233-6723-2023-223-79-83
Abstract: In this paper, we examine systems of partial differential equations that admit well-posed two-point problems in the Schwartz space, in particular, systems with Hermitian matrices, well-posed systems in the Petrovsky sense, and also systems with a one space variable.
Keywords: boundary-value problem, Fourier transform, Schwartz space, resolution matrix.
Document Type: Article
UDC: 517.954
MSC: 35A01
Language: Russian
Citation: À. À. Makarov, I. G. Nikolenko, “Well-posed boundary two-point problems for systems of partial differential equations”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223, VINITI, Moscow, 2023, 79–83
Citation in format AMSBIB
\Bibitem{MakNik23}
\by À.~À.~Makarov, I.~G.~Nikolenko
\paper Well-posed boundary two-point problems for systems of partial differential equations
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 223
\pages 79--83
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1157}
\crossref{https://doi.org/10.36535/0233-6723-2023-223-79-83}
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