WEAK AND STRONG SOLUTIONS OF ISOTROPIC VISCOELASTIC EQUATIONS WITH LONG NONLINEAR MEMORY

Abstract

The equations of isotropic viscoelastic materials with long nonlinear memory are studied. The model equations are described by second order Volterra integrodifferential equation having nonlinear kernels. Based on the variational methods, we have proved the fundamental results on existence, uniqueness and regularity of weak and strong solutions for the equations