Abstract | ||
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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 |
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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 Wang | 1 | 56 | 7.37 |
Hairong Lian | 2 | 15 | 4.06 |
Weigao Ge | 3 | 158 | 46.20 |