On a m-order nonlinear integrodifferential equation in n variables

Abstract

In this paper, by applying the fixed point theorems coupled with establishing suitable Banach spaces and a sucient condition for relatively compact subsets, we study the existence and the compactness of the set of solutions for m-order nonlinear integrodierential equation in N variables. In order to illustrate the results obtained here, we present two examples. © 2019 Kyungnam University Press.