Stable time periodic solutions for damped Sine-Gordon equations

dc.contributor.authorZhu, Jianmin
dc.contributor.authorLi, Zhixiang
dc.contributor.authorLiu, Yicheng
dc.date.accessioned2021-07-20T13:39:51Z
dc.date.available2021-07-20T13:39:51Z
dc.date.issued2006-08-31
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhu, 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.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13972
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectSchaefer's fixed-point theorem
dc.subjectTime periodic solutions
dc.subjectSine-Gordon equations
dc.subjectUniformly asymptotic stability
dc.titleStable time periodic solutions for damped Sine-Gordon equations
dc.typeArticle

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