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 Daghestan Electronic Mathematical Reports, 2014, Issue 2, Pages 101–115 (Mi demr14)

Positive solutions of boundary value problems for nonlinear differential equations

E. I. Abduragimov

Daghestan Scientific Centre of Russian Academy of Sciences

Abstract: Sufficient conditions for the existence of a positive solution of two-point boundary value problem for a nonlinear ordinary differential equation of the fourth order were improved. The new sufficient conditions for the existence and uniqueness of the positive solution of two-point boundary value problem for a special kind of nonlinear ordinary differential equation with fractional derivatives of order $\alpha$ were obtained. The new sufficient conditions for the existence and uniqueness of positive radially symmetric solution of the Dirichlet problem for a system of nonlinear differential equations with $p$-laplacian were obtained.

Keywords: positive solution, Dirichlet problem, boundary problem, \linebreak non-linear differential equation

DOI: https://doi.org/10.31029/demr.2.8

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Document Type: Article
UDC: 517.956
Revised: 17.12.2014
Accepted:18.12.2014

Citation: E. I. Abduragimov, “Positive solutions of boundary value problems for nonlinear differential equations”, Daghestan Electronic Mathematical Reports, 2014, no. 2, 101–115

Citation in format AMSBIB
\Bibitem{Abd14} \by E.~I.~Abduragimov \paper Positive solutions of boundary value problems for nonlinear differential equations \jour Daghestan Electronic Mathematical Reports \yr 2014 \issue 2 \pages 101--115 \mathnet{http://mi.mathnet.ru/demr14} \crossref{https://doi.org/10.31029/demr.2.8} \elib{http://elibrary.ru/item.asp?id=https://elibrary.ru/item.asp?id=27311205}