Boundary Stabilization of a Nonlinear Viscoelastic Equation with Interior Time-Varying Delay and Nonlinear Dissipative Boundary Feedback
Joint Authors
Sun, Mingbao
Huang, Jianhua
Zhang, Zai-yun
Liu, Zhen-hai
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We investigate a nonlinear viscoelastic equation withinterior time-varying delay and nonlinear dissipative boundary feedback.
Under suitable assumptions on the relaxation function and time-varying delay effect together with nonlinear dissipative boundary feedback, weprove the global existence of weak solutions and asymptotic behavior ofthe energy by using the Faedo-Galerkin method and the perturbed energymethod, respectively.
This result improves earlier ones in the literature,such as Kirane and Said-Houari (2011)and Ammari et al.
(2010).
Moreover, we give an positive answer to the openproblem given by Kirane and Said-Houari (2011).
American Psychological Association (APA)
Zhang, Zai-yun& Huang, Jianhua& Liu, Zhen-hai& Sun, Mingbao. 2014. Boundary Stabilization of a Nonlinear Viscoelastic Equation with Interior Time-Varying Delay and Nonlinear Dissipative Boundary Feedback. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033524
Modern Language Association (MLA)
Zhang, Zai-yun…[et al.]. Boundary Stabilization of a Nonlinear Viscoelastic Equation with Interior Time-Varying Delay and Nonlinear Dissipative Boundary Feedback. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1033524
American Medical Association (AMA)
Zhang, Zai-yun& Huang, Jianhua& Liu, Zhen-hai& Sun, Mingbao. Boundary Stabilization of a Nonlinear Viscoelastic Equation with Interior Time-Varying Delay and Nonlinear Dissipative Boundary Feedback. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033524
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033524