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The local linking theorem with an application to a class of second-order systems

โœ Scribed by Shengzhong Duan; Xian Wu


Book ID
108216485
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
610 KB
Volume
72
Category
Article
ISSN
0362-546X

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A class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated. By suitable Liapunov functionals, existence of solutions as well as asymptotic behavior, are determined. In particular, when the memory kernel decays exponentially, the polynomially decay of the s