Periodic solutions for functional-differential equations of mixed type
type: Item
instance of: scholarly article
title: Periodic solutions for functional-differential equations of mixed type
zbMATH Open document ID: 1120.34049
author: Adriana Buică
author: Veronica-Ana Ilea
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-04-10T00:00:00Z
review text: The paper is devoted to the study of periodic solutions for functional-differential equations of mixed type of the following form \[ x'(t)=f(t,x(t),x(t-\tau_1(t)),x(t+\tau_2(t))),\quad t\in \mathbb R, \] where \(f:\mathbb R\times\mathbb R^{3n}\to \mathbb R^n\) and \(\tau_1, \tau_2:R\to \mathbb R\) are continuous and \(\omega\)-periodic functions. Applying the coincidence degree theory of Mawhin, the authors justify the averaging principle and obtain some results on the existence of periodic solutions.
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5141602
zbMATH Keywords: periodic solutions
zbMATH Keywords: coincidence degree
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.08.009
OpenAlex ID: W2068677116
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DOI: 10.1016/J.JMAA.2006.08.009
description: scientific article; zbMATH DE number 5141602