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

Kishor D. Kucche; M. B. Dhakne

doi:10.5269/bspm.v32i1.19901

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

Authors

Kishor D. Kucche Shivaji University Department of Mathematics
M. B. Dhakne Dr. Babasaheb Ambedkar Marathwada University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v32i1.19901

Keywords:

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

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.