On a nonlinear abstract second-order integrodifferential equation part I

Volume 3, Issue 4
Autumn 2021
Pages 13-24

Document Type : Original Article

Author

H.no 3-8-44\slash2(1-25-176), Manzoorpura, Near Shahgunj, Aurangabad (431001), Maharashtra, India

Abstract
The object of this paper is to study the existence, uniqueness and continuation of the solutions of nonlinear second-order integrodifferential equations. In the theory of infinitesimal generator of $C_0$- semigroup in a Banach space, the fixed point theorems of Schauder and Banach are used to establish our main results.
  • Receive Date 19 July 2021
  • Revise Date 27 September 2021
  • Accept Date 28 September 2021