Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709505 | Applied Mathematics Letters | 2011 | 7 Pages |
Abstract
The aim of this work is to study the nonlinear functional-integral equation x(t)=f(t,x(t),∫0tu(t,s,x(a(s)),x(b(s)))ds),∀t∈R+. Using the technique of the measure of noncompactness and the Darbo fixed-point theorem, we prove the existence and asymptotic stability of solutions for the equation. A nontrivial example is given to support our result.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zeqing Liu, Shin Min Kang, Jeong Sheok Ume,