Existence Solution of Volterra Hammerstein Equation in L^p Space

Abstract

In this paper we use the fixed-point theorem of Latrach, Taoudi and Zeghal under some conditions to find a solution for Volterra_Hammerstein integral equation in the Banach space L^p ([0,m],R). We use this fixed point theorem with new assumptions.

Keywords

• volterra
• hammerstein equation
• fixed point theorem
• weakly compact