Sobolev-type Volterra-Fredholm functional integrodifferential equations in Banach spaces

Abstract

This paper deals with the problems such as the existence, uniqueness, continuous dependence and boundedness of mild solution of Volterra-Fredholm functional integrodifferential equations of sobolev type in Banach spaces. Our analysis is based on Banach fixed point principle, the integral inequality established by B. G. Pachpatte, Gronwall-Bellman inequality and the semigroup theory.

Keywords

• Volterra-Fredholm Equations
• integral inequality
• Banach fixed point principle
• Semigroup theory