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Existence and Uniqueness of Positive Solution to a Boundary Value Problem for a Nonlinear Second Order Functional-Differential Equation

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Abstract

This work continues a series of author's papers devoted to the problems of the existence and uniqueness of positive solutions of boundary value problems for nonlinear second order functional-differential equations. We study a boundary value problem for a nonlinear second order functional-differential equation with homogeneous boundary conditions. Based on the theory of semi-ordered spaces and with the help of special topological tools we establish the existence of a unique positive solution to the problem.

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  1. Dagestan State University, 12 Dzerzhinsky str., 367000, Makhachkala, Russia

    G. E. Abduragimov

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  1. G. E. Abduragimov
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Correspondence to G. E. Abduragimov.

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Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 12, pp. 3–7.

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Abduragimov, G.E. Existence and Uniqueness of Positive Solution to a Boundary Value Problem for a Nonlinear Second Order Functional-Differential Equation. Russ Math. 64, 1–5 (2020). https://doi.org/10.3103/S1066369X20120014

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  • DOI: https://doi.org/10.3103/S1066369X20120014

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