Abstract
In this paper, the Neumann-Dirichlet boundary problem for a system of nonlinear viscoelastic equations of Kirchhoff type with Balakrishnan-Taylor term is considered. At first, a local existence is established by the linear approximation together with the Faedo- Galerkin method. Then, by establishing several reasonable conditions and suitable energy inequalities, the solution of the problem admits a general decay in time.
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