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Journal of Computational and Engineering Mathematics, 2023, Volume 10, Issue 2, Pages 17–25
DOI: https://doi.org/10.14529/jcem230202 (Mi jcem235) 		 
Computational Mathematics

Study of solvability of boundary value problems for one singular differential equation

A. V. Kungurtseva, I. A. Kolesnikov

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (179 kB)
DOI: https://doi.org/10.14529/jcem230202
Abstract: In this paper, the abstract theory of functional-differential equations is applied to some singular second-order differential equation, which is a generalization of equations encountered in the theory of chemical reactions. The result is based on the properties of the Green's operator of the corresponding linear problem.
Keywords: functional differential equations, quasilinear boundary value problems, linear equation, singular equation, unique solvability, well-defined solvability, finite-dimensional parametrizability, Green's operator.
Received: 07.05.2023
Document Type: Article
UDC: 517.9
MSC: 34B16
Language: English
Citation: A. V. Kungurtseva, I. A. Kolesnikov, “Study of solvability of boundary value problems for one singular differential equation”, J. Comp. Eng. Math., 10:2 (2023), 17–25
Citation in format AMSBIB
\Bibitem{KunKol23}
\by A.~V.~Kungurtseva, I.~A.~Kolesnikov
\paper Study of solvability of boundary value problems for one singular differential equation
\jour J. Comp. Eng. Math.
\yr 2023
\vol 10
\issue 2
\pages 17--25
\mathnet{http://mi.mathnet.ru/jcem235}
\crossref{https://doi.org/10.14529/jcem230202}
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