Infinitely many periodic solutions to delay differential equations via critical point theory

Xiaosheng Zhang; Duo Wang

doi:10.1155/2013/526350

Infinitely many periodic solutions to delay differential equations via critical point theory

Xiaosheng Zhang^*
, Duo Wang

^*Corresponding author for this work

Capital Normal University
Peking University
South China Normal University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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

Original language	English
Article number	526350
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/526350
Publication status	Published - 2013
Externally published	Yes

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title = "Infinitely many periodic solutions to delay differential equations via critical point theory",

abstract = "By the critical point theory, infinitely many 4σ-periodic solutions are obtained for the system of delay differential equations t = - f (x (t - σ)), where σ(0, + ∞) and fC It is shown that all the periodic solutions derived here are brought about by the time delay.",

author = "Xiaosheng Zhang and Duo Wang",

year = "2013",

doi = "10.1155/2013/526350",

language = "English",

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journal = "Abstract and Applied Analysis",

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AU - Wang, Duo

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N2 - By the critical point theory, infinitely many 4σ-periodic solutions are obtained for the system of delay differential equations t = - f (x (t - σ)), where σ(0, + ∞) and fC It is shown that all the periodic solutions derived here are brought about by the time delay.

AB - By the critical point theory, infinitely many 4σ-periodic solutions are obtained for the system of delay differential equations t = - f (x (t - σ)), where σ(0, + ∞) and fC It is shown that all the periodic solutions derived here are brought about by the time delay.

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U2 - 10.1155/2013/526350

DO - 10.1155/2013/526350

M3 - Article

AN - SCOPUS:84893790425

SN - 1085-3375

VL - 2013

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

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ER -

Infinitely many periodic solutions to delay differential equations via critical point theory

Abstract

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