Existence and asymptotic stability of time periodic solutions to the generalized double dispersion equation with periodic external force

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:465

Article

Wang, Yinxia^1,2  Xue, Ling^1,3 

[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China

[2] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Henan, Peoples R China

[3] Harbin Engn Univ, Coll Sci, Harbin 150001, Heilongjiang, Peoples R China

关键词: Generalized double dispersion equation with periodic external force;    Time periodic solutions;    Asymptotic stability;   

DOI  :  10.1016/j.jmaa.2018.05.002

来源: Elsevier

【 摘 要 】

In this paper, we investigate the generalized double dispersion equation with periodic external force in R-n. We prove the existence and uniqueness of time periodic solutions that have the same period as the external force in some suitable function space for the space dimension n >= 3. The proof is based on the spectral analysis for the solution operator and the contraction mapping theorem. In addition, we also discuss the time asymptotic stability of the time periodic solutions by continuous argument. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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