Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces-Reference-Cited by-同舟云学术

Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Caballero Mena J.¹,Nalepa R.²,Sadarangani K.¹

Affiliation:

1. Department of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

2. Department of Mathematics, Rzeszów University of Technology, Aleja Powstańców Warszawy 12, 35-959 Rzeszów, Poland

Abstract

Using the classical Schauder fixed point theorem, we prove the existence of solutions of a quadratic integral equation of Fredholm type with supremum in the space of functions satisfying the Hölder condition.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2014/856183.pdf

Reference21 articles.

1. Integral equations arising in the kinetic theory of gases

2. Existence Theorems for Some Quadratic Integral Equations

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