Infinitely Many Periodic Solutions to Delay Differential Equations via Critical Point Theory-Reference-Cited by-同舟云学术

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Infinitely Many Periodic Solutions to Delay Differential Equations via Critical Point Theory

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Zhang Xiaosheng¹,Wang Duo²³

Affiliation:

1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

2. School of Mathematical Sciences, Peking University, Beijing 100048, China

3. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Abstract

By the critical point theory, infinitely many 4σ-periodic solutions are obtained for the system of delay differential equationsẋt=-f(x(t-σ)), whereσ∈(0,+∞)andf∈C(ℝn,ℝn). It is shown that all the periodic solutions derived here are brought about by the time delay.

Funder

BJJW

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/526350.pdf

Reference33 articles.

1. Existence and uniqueness of positive periodic solutions of functional differential equations

2. Existence of three periodic solutions for a nonlinear first order functional differential equation

3. Existence of positive periodic solutions of nonlinear first-order delayed differential equations

4. Positive periodic solutions of delay differential equations

5. Periodic solutions in general scalar non-autonomous models with delays

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