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Solvability of a class of systems of quadratic integral equations

Yuming Chen, Vitali Vougalter

Abstract

The article is devoted to the existence of solutions of a certain system of quadratic integral equations in H^1(R, R^N). We show the existence of a perturbed solution by using a fixed point technique in the Sobolev space on the real line.

Solvability of a class of systems of quadratic integral equations

Abstract

The article is devoted to the existence of solutions of a certain system of quadratic integral equations in H^1(R, R^N). We show the existence of a perturbed solution by using a fixed point technique in the Sobolev space on the real line.
Paper Structure (4 sections, 100 equations)

This paper contains 4 sections, 100 equations.

Table of Contents

  1. Introduction
  2. The existence of the perturbed solution
  3. The continuity of the resulting solution with respect to the vector function $g$
  4. Acknowledgement