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, 2021, Volume 199, Pages 3–6
DOI: https://doi.org/10.36535/0233-6723-2021-199-3-6 (Mi into884) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the existence of a positive solution to a boundary-value problem for a second-order nonlinear ordinary differential equation

G. E. Abduragimov

Daghestan State University, Makhachkala
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DOI: https://doi.org/10.36535/0233-6723-2021-199-3-6
Abstract: In this paper, we consider a boundary-value problem for a nonlinear, second-order, ordinary differential equation. Applying special topological methods, we obtain sufficient conditions for the existence of a positive solution of the problem. An example is presented.
Keywords: positive solution, boundary-value problem, cone, Green’s function.
Document Type: Article
UDC: 517.927.4
MSC: 34K10
Language: Russian
Citation: G. E. Abduragimov, “On the existence of a positive solution to a boundary-value problem for a second-order nonlinear ordinary differential equation”, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 199, VINITI, Moscow, 2021, 3–6
Citation in format AMSBIB
\Bibitem{Abd21}
\by G.~E.~Abduragimov
\paper On the existence of a positive solution to a boundary-value problem for a second-order nonlinear ordinary differential equation
\inbook Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 --- February 1, 2020. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 199
\pages 3--6
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into884}
\crossref{https://doi.org/10.36535/0233-6723-2021-199-3-6}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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