Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899496 | Journal of Mathematical Analysis and Applications | 2018 | 18 Pages |
Abstract
In this paper, we investigate the generalized double dispersion equation with periodic external force in Rn. 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 nâ¥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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yinxia Wang, Ling Xue,