Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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

Author(s):

Gusen Elderkhanovich Abduragimov

Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Applied Mathematics, Dagestan State University (DSU)

gusen_e@mail.ru

Abstract:

We consider a boundary value problem with periodic boundary conditions on the segmen [0,2pi] for one nonlinear functional differential equation of the second order. Using the theorem Go-Krasnoselsky about a fixed point, sufficient conditions for the existence of positive solution to the problem under study. Proof of the uniqueness of this solution is given only in the superlinear case. A non-trivial example is given to illustrate obtained results.

Keywords

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