L. A. Beklaryan, “A new approach to the question of existence of periodic solutions for functional differential equations of point type”, Izv. RAN. Ser. Mat., 2018, Volume 82, Issue 6,Pages <nobr>3

This article is cited in 7 papers

A new approach to the question of existence of periodic solutions for functional differential equations of point type

L. A. Beklaryan

Central Economics and Mathematics Institute Russian Academy of Sciences, Moscow

Abstract: This paper is devoted to a new type of sufficient conditions for the existence of periodic solutions of ordinary differential equations and functional differential equations of point type. These conditions are based on the use of asymptotic properties of solutions of differential equations that have not been used in the study of periodic solutions because of considerations restricting such equations to an interval equal to the period.

Keywords: differential equations, periodic solutions.

UDC: 517.9

MSC: 34K13

Received: 08.02.2017
Revised: 02.04.2018

DOI: 10.4213/im8662