General decay for a system of viscoelastic wave equation with past history, distributed delay and Balakrishnan-Taylor damping terms.

The subject of this research is a coupled system of nonlinear viscoelastic wave equations with distributed delay components, infinite memory and Balakrishnan-Taylor damping. Assume the kernels holds true the below in which and are functions. We demonstrate the stability of the system under this highly generic assumptions on the behaviour of at infinity and by dropping the boundedness assumptions in the historical data. [ABSTRACT FROM AUTHOR]