We shall obtain sufficient conditions for the uniform stability and the global asymptotic stability of the linear difference equation with variable delay where {Pn} is a sequence of nonnegative real numbers, {kn} is a sequence of nonnegative integers, and there exists a nonnegative integer k such t
โฆ LIBER โฆ
Existence and asymptotic stability of a viscoelastic wave equation with a delay
โ Scribed by Mokhtar Kirane; Belkacem Said-Houari
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 297 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0044-2275
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## Abstract In this paper the nonlinear viscoelastic wave equation associated with initial and Dirichlet boundary conditions is considered. Under suitable conditions on __g__, it is proved that any weak solution with negative initial energy blows up in finite time if __p__ > __m__. Also the case o
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