Stable time periodic solutions for damped Sine-Gordon equations
dc.contributor.author | Zhu, Jianmin | |
dc.contributor.author | Li, Zhixiang | |
dc.contributor.author | Liu, Yicheng | |
dc.date.accessioned | 2021-07-20T13:39:51Z | |
dc.date.available | 2021-07-20T13:39:51Z | |
dc.date.issued | 2006-08-31 | |
dc.description.abstract | We investigate existence and stability of time periodic solutions for damped Sine-Gordon equations with delay under reasonable assumptions. The key-step is constructing suitable Lyapunov functionals and establishing the priori bound for all possible periodic solutions. We also use the Schaefer fixed-point theorem. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Zhu, J., Li, Z., & Liu, Y. (2006). Stable time periodic solutions for damped Sine-Gordon equations. <i>Electronic Journal of Differential Equations, 2006</i>(99), pp. 1-10. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13972 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Schaefer's fixed-point theorem | |
dc.subject | Time periodic solutions | |
dc.subject | Sine-Gordon equations | |
dc.subject | Uniformly asymptotic stability | |
dc.title | Stable time periodic solutions for damped Sine-Gordon equations | |
dc.type | Article |