A New Method for Proving Existence Theorems for Abstract Hammerstein Equations-Reference-Cited by-同舟云学术

A New Method for Proving Existence Theorems for Abstract Hammerstein Equations

Published:2015 Issue: Volume:2015 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chidume C. E.¹,Chidume C. O.²,Minjibir Ma’aruf Shehu¹³

Affiliation:

1. African University of Science and Technology, Abuja 900241, Nigeria

2. Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5168, USA

3. Department of Mathematical Sciences, Bayero University, Kano 700241, Nigeria

Abstract

An abstract Hammerstein equation is an equation of the formu+KFu=0. Anew methodis introduced to prove the existence of a solution of this equation whereKandFare nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map via a Hilbert space and does not involve the use of deep variational techniques.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/627260.pdf

Reference17 articles.

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