Hammerstein integral equation with a generalized singular kernel

A simple algorithm for solving the Volterra integral equation featuring a weakly singular kernel

There are many methods for numerical solutions of integral equations. In various branches of science and engineering, chemistry and biology, and physics applications integral equation is provided by many other authors. In this paper, a simple numerical method using a fuzzy, for the numerical solution of the integral equation with the weak singular kernel is provided. Finally, by providing three...

Exact Controllability of Generalized Hammerstein Type Integral Equation and Applications

In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation

Hammerstein Integral Equations with Indefinite Kernel

This paper deals with the problem of finding solutions of the --._rstein integral equation. It is shown that this problem can be reduced to the study of the critical points of certain functional defined on L2(). Existence of a solution of the Hammersteln integral equation is proved. Some other related results of interest are obtained.

On the Volterra Integral Equation with Weakly Singular Kernel

Positive Solutions of a Hammerstein Integral Equation with a Singular Nonlinear Term

In this paper the existence of a positive measurable solution of the Hammerstein equation of the first kind with a singular nonlinear term at the origin is presented. 0. Introduction The literature on the Hammerstein equations with the reciprocal of the solution in the integrand is rather limited, although there are many applications. For example, the equation