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, 2019, Volume 165, Pages 3–9
DOI: https://doi.org/10.36535/0233-6723-2019-165-3-9 (Mi into462) 		 
Computer calculation of green's functions for third-order ordinary differential equations

I. N. Belyaevaa, N. A. Chekanova, L. V. Krasovskayaa, N. N. Chekanovab

a National Research University "Belgorod State University"
b Kharkov Institute of Education and Science of the State Higher Educational Institution "University of Banking"
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DOI: https://doi.org/10.36535/0233-6723-2019-165-3-9
Abstract: In this paper, we present a method of computer calculation of Green's function in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Green's functions by using the software proposed.
Keywords: ordinary differential equation, boundary-value problem, Green function, symbol-numerical computation, computer simulation.
Bibliographic databases:
Document Type: Article
UDC: 519.624.3
MSC: 34B27
Language: Russian
Citation: I. N. Belyaeva, N. A. Chekanov, L. V. Krasovskaya, N. N. Chekanova, “Computer calculation of green's functions for third-order ordinary differential equations”, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 165, VINITI, Moscow, 2019, 3–9
Citation in format AMSBIB
\Bibitem{BelCheKra19}
\by I.~N.~Belyaeva, N.~A.~Chekanov, L.~V.~Krasovskaya, N.~N.~Chekanova
\paper Computer calculation of green's functions for third-order ordinary differential equations
\inbook Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics".
Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 165
\pages 3--9
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into462}
\crossref{https://doi.org/10.36535/0233-6723-2019-165-3-9}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4030606}
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