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Turkish Journal of Mathematics

DOI

10.3906/mat-1212-15

Abstract

In this paper, we study the initial-boundary value problem for a system of nonlinear viscoelastic Petrovsky equations. Introducing suitable perturbed energy functionals and using the potential well method we prove uniform decay of solution energy under some restrictions on the initial data and the relaxation functions. Moreover, we establish a growth result for certain solutions with positive initial energy.

First Page

87

Last Page

109

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Mathematics Commons

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