Periodic solutions for second order delay duffing equation via critical point theory

Jingrui Zhang; Yi Cheng; Changqin Yuan

Periodic solutions for second order delay duffing equation via critical point theory

Jingrui Zhang
, Yi Cheng
, Changqin Yuan

School of Aerospace Engineering

Aviation University of Air Force
Jilin University

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

Abstract

This article concerns the periodic problem of second order delay Du ng equation with cross resonance condition. Using critical point theory and homotopy methods, we obtain sufficient conditions for the existence of periodic solutions. Also, we present an example to illustrate our results.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2013
Publication status	Published - 6 May 2013

Keywords

Critical point theory
Duffng equation
Periodic solution

Cite this

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title = "Periodic solutions for second order delay duffing equation via critical point theory",

abstract = "This article concerns the periodic problem of second order delay Du ng equation with cross resonance condition. Using critical point theory and homotopy methods, we obtain sufficient conditions for the existence of periodic solutions. Also, we present an example to illustrate our results.",

keywords = "Critical point theory, Duffng equation, Periodic solution",

author = "Jingrui Zhang and Yi Cheng and Changqin Yuan",

year = "2013",

month = may,

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language = "English",

volume = "2013",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Periodic solutions for second order delay duffing equation via critical point theory

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AU - Cheng, Yi

AU - Yuan, Changqin

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N2 - This article concerns the periodic problem of second order delay Du ng equation with cross resonance condition. Using critical point theory and homotopy methods, we obtain sufficient conditions for the existence of periodic solutions. Also, we present an example to illustrate our results.

AB - This article concerns the periodic problem of second order delay Du ng equation with cross resonance condition. Using critical point theory and homotopy methods, we obtain sufficient conditions for the existence of periodic solutions. Also, we present an example to illustrate our results.

KW - Critical point theory

KW - Duffng equation

KW - Periodic solution

UR - https://www.scopus.com/pages/publications/84877267528

M3 - Article

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SN - 1072-6691

VL - 2013

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Periodic solutions for second order delay duffing equation via critical point theory

Abstract

Keywords

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