Solvability of Hammerstein Integral Equations with Applications to Boundary Value Problems

Solvability of Nonlinear Hammerstein Quadratic Integral Equations

We are concerning with a nonlinear Hammerstein quadratic integral equation. We prove the existence of at least one positive solution x ∈ L1 under Carathèodory condition. Secondly we will make a link between Peano condition and Carathèodory condition to prove the existence of at least one positive continuous solution. Finally the existence of the maximal and minimal solutions will be proved.

Numerical solvability of system of Fredholm-Hammerstein integral equations using Modification of Hat Function

A system of integral equations can describe different kind of problems in sciences and engineering. There are many different methods for numerical solution of linear and nonlinear system of integral equations. This paper proposed a numerical method based on modification of Hat functions for solving system of Fredholm-Hammerstein integral equations. The proposed method reduced a system of integr...

Solvability of Nonlocal Fractional Boundary Value Problems

Solvability of discrete Neumann boundary value problems

In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer’s Theorem in the finite-dimensional space setting. © 2006 Elsevier Inc. All rights reserved.

Solvability of Discrete Neumann Boundary Value Problems

In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer’s theorem in the finitedimensional space setting. Running Head: Discrete BVPs AMS Subject Code: 39A12, 34B15 Corresponding Author: C C Tisdell