Integral solution of a class of nonlinear integral equations Academic Article uri icon

abstract

  • This paper is concerned with the existence of integral solutions to a general nonlinear integral equationx(t)=f1(t,x(φ1(t))) +f2t,∫0φ2(t)k(t,s)f3(s,x( φ3(s)))ds,t∈R+.With the help of Krasnoselskii's fixed point theorem and the theory of measure of weak noncompactness, we establish a new and general existence theorem for the nonlinear functional integral equation. Moreover, an example, which can not be treated by the related theorems in [5,20,22], is given to illustrate the new existence theorem. © 2012 Elsevier Inc. All rights reserved.

author list (cited authors)

  • Liang, J., Yan, S., Agarwal, R. P., & Huang, T.

citation count

  • 8

publication date

  • January 2013