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Contemporary Mathematics. Fundamental Directions, 2023, Volume 69, Issue 2, Pages 201–207
DOI: https://doi.org/10.22363/2413-3639-2023-69-2-201-207 (Mi cmfd496) 		 
On the existence and uniqueness of a positive solution to a boundary-value problem of the Sturm–Liouville type for a nonlinear ordinary differential equation

G. È. Abduragimov, P. È Abduragimova, M. M. Kuramagomedova

Daghestan State University, Makhachkala, Russia
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DOI: https://doi.org/10.22363/2413-3639-2023-69-2-201-207
Abstract: Using the fixed point theorem in partially ordered sets, we obtain sufficient conditions for the existence of a unique positive solution to a boundary-value problem of the Sturm–Liouville type for a nonlinear ordinary differential equation, and give an example illustrating the results obtained.
Keywords: cone, positive solution, operator fixed point, Green's function.
Bibliographic databases:
Document Type: Article
UDC: 517.927.4
Language: Russian
Citation: G. È. Abduragimov, P. È Abduragimova, M. M. Kuramagomedova, “On the existence and uniqueness of a positive solution to a boundary-value problem of the Sturm–Liouville type for a nonlinear ordinary differential equation”, CMFD, 69, no. 2, PFUR, M., 2023, 201–207
Citation in format AMSBIB
\Bibitem{AbdAbdKur23}
\by G.~\`E.~Abduragimov, P.~\`E~Abduragimova, M.~M.~Kuramagomedova
\paper On the existence and uniqueness of a positive solution to a boundary-value problem of the Sturm--Liouville type for a nonlinear ordinary differential equation
\serial CMFD
\yr 2023
\vol 69
\issue 2
\pages 201--207
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd496}
\crossref{https://doi.org/10.22363/2413-3639-2023-69-2-201-207}
\edn{https://elibrary.ru/CUFAAP}
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    		Современная математика. Фундаментальные направления
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