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Статья
2020

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


G. E. AbduragimovG. E. Abduragimov
Русская математика
https://doi.org/10.3103/S1066369X20120014
Abstract / Full Text

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.

Author information
  • Dagestan State University, 12 Dzerzhinsky str., 367000, Makhachkala, RussiaG. E. Abduragimov
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