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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 12, Pages 3–8
DOI: https://doi.org/10.26907/0021-3446-2021-12-3-8 (Mi ivm9732) 		 
Existence and uniqueness of a positive solution to a boundary value problem for a second order functional-differential equation

G. E. Abduragimov

Dagestan State University, 12 Dzerzhinsky str., Makhachkala, 367000 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-12-3-8
Abstract: In the paper, a boundary value problem for one functional-differential equation of the second order with sufficiently general linear homogeneous boundary conditions. On the basis of the theory of semi-ordered spaces with the help of special topological means, the existence of a unique positive solution to the problem under study is proved.
Keywords: positive solution, boundary value problem, cone, asymptotic derivative, spectral radius.
Received: 20.01.2021
Revised: 13.05.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 12, Pages 1–5
DOI: https://doi.org/10.3103/S1066369X2112001X
Document Type: Article
UDC: 517.927
Language: Russian
Citation: G. E. Abduragimov, “Existence and uniqueness of a positive solution to a boundary value problem for a second order functional-differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 12, 3–8; Russian Math. (Iz. VUZ), 65:12 (2021), 1–5
Citation in format AMSBIB
\Bibitem{Abd21}
\by G.~E.~Abduragimov
\paper Existence and uniqueness of a positive solution to a boundary value problem for a second order functional-differential equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 12
\pages 3--8
\mathnet{http://mi.mathnet.ru/ivm9732}
\crossref{https://doi.org/10.26907/0021-3446-2021-12-3-8}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 12
\pages 1--5
\crossref{https://doi.org/10.3103/S1066369X2112001X}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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