Existence Results of Mild Solutions for Second Order Perturbed Pseudo Integro-differential Evolution Equations with Infinite state-dependent delay in Fréchet spaces

Abstract

This paper is concerned the existence of mild solutions in Fr\'echet spaces combined with semigroup theory, using Avramescu nonlinear alternative for sum of compact operators and contractions maps to the second order perturbed pseudo integrodifferential evolution equations with state dependent delay for two classes of first order partial functional and neutral functional.