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General Decay and Blow-Up of Solutions for a System of Viscoelastic Equations of Kirchhoff Type with Strong Damping
Joint Authors
Hong, Linghui
Li, Gang
Liu, Wenjun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-04
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The general decay and blow-up of solutions for a system of viscoelastic equations of Kirchhoff type with strong damping is considered.
We first establish two blow-up results: one is for certain solutions with nonpositive initial energy as well as positive initial energy by exploiting the convexity technique, the other is for certain solutions with arbitrarily positive initial energy based on the method of Li and Tsai.
Then, we give a decay result of global solutions by the perturbed energy method under a weaker assumption on the relaxation functions.
American Psychological Association (APA)
Liu, Wenjun& Li, Gang& Hong, Linghui. 2014. General Decay and Blow-Up of Solutions for a System of Viscoelastic Equations of Kirchhoff Type with Strong Damping. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1040631
Modern Language Association (MLA)
Liu, Wenjun…[et al.]. General Decay and Blow-Up of Solutions for a System of Viscoelastic Equations of Kirchhoff Type with Strong Damping. Journal of Function Spaces No. 2014 (2014), pp.1-21.
https://search.emarefa.net/detail/BIM-1040631
American Medical Association (AMA)
Liu, Wenjun& Li, Gang& Hong, Linghui. General Decay and Blow-Up of Solutions for a System of Viscoelastic Equations of Kirchhoff Type with Strong Damping. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1040631
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040631