Title
Periodic solutions for a second order nonlinear functional differential equation
Abstract
The second order nonlinear delay differential equation with periodic coefficients x″(t)+p(t)x′(t)+q(t)x(t)=r(t)x′(t−τ(t))+f(t,x(t),x(t−τ(t))),t∈R is considered in this work. By using Krasnoselskii’s fixed point theorem and the contraction mapping principle, we establish some criteria for the existence and uniqueness of periodic solutions to the delay differential equation.
Year
DOI
Venue
2007
10.1016/j.aml.2006.02.028
Applied Mathematics Letters
Keywords
Field
DocType
Periodic solutions,Delay differential equations,Fixed point theorem,Compact operator,Uniqueness
Uniqueness,Mathematical optimization,Nonlinear system,Contraction mapping,Mathematical analysis,Compact operator,Functional differential equation,Delay differential equation,Periodic graph (geometry),Fixed-point theorem,Mathematics
Journal
Volume
Issue
ISSN
20
1
0893-9659
Citations 
PageRank 
References 
5
1.54
0
Authors
3
Name
Order
Citations
PageRank
Youyu Wang1567.37
Hairong Lian2154.06
Weigao Ge315846.20