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.
Highlights
This paper studies Volterra_Hammerstein integral equations in the Banach space (, - )
We get a solution for Volterra-Hammerstein integral equation: ( ) ( ) ∫ ( ) ( ( ))
In this study we investigate the solution of Volterra-Hammerstein integral equation in (, - ) using fixed point theorem of K
Summary
This paper studies Volterra_Hammerstein integral equations in the Banach space (, - ). We get a solution for Volterra-Hammerstein integral equation:. In this study we investigate the solution of Volterra-Hammerstein integral equation in (, - ) using fixed point theorem of K. Equation of Hammerstein-type was studied by many authors. Mustafa Nader gave conditions that ensure the existence and the uniqueness of the solution for equation (1) in the space [4]. Authors in [5,6,7,8] found sequences converged to the exact solution of equation (1) under such assumptions
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