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

Xiaosheng Zhang and Duo Wang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: By the critical point theory, infinitely many 4σ‐periodic solutions are obtained for the system of delay differential equations ẋ(t) = −f(x(t − σ)), where σ ∈ (0, +∞) and f ∈ C(ℝn, ℝn). It is shown that all the periodic solutions derived here are brought about by the time delay.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:526350

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