We establish the existence of mild solutions for a class of abstract second-order partial neutral functional integro-differential equations with infinite delay in a Banach space using the theory of cosine families of bounded linear operators and Schaefer's fixed-point theorem.
Computers and Mathematics with Applications
Hernandez, E., & McKibben, M. A. (2005). Some Comments on: Existence of Solutions of Abstract Nonlinear Second-Order Neutral Functional Integrodifferential Equations. Computers and Mathematics with Applications, 1-15. Retrieved from http://digitalcommons.wcupa.edu/math_facpub/5