Integral solution of a class of nonlinear integral equations

abstract

• This paper is concerned with the existence of integral solutions to a general nonlinear integral equationx(t)=f1(t,x(1(t))) +f2t,02(t)k(t,s)f3(s,x( 3(s)))ds,tR+.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.

authors

• Huang, Tingwen

published proceedings

• APPLIED MATHEMATICS AND COMPUTATION

author list (cited authors)

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

citation count

• 9

complete list of authors

• Liang, Jin||Yan, Sheng-Hua||Agarwal, Ravi P||Huang, Ting-Wen

publication date

• January 2013

publisher

• Elsevier  Publisher

published in

• Applied Mathematics and Computation  Journal

keywords

• Fixed Point
• Integrable Solution
• Integral Equation
• Volterra

Digital Object Identifier (DOI)

• 10.1016/j.amc.2012.10.099

start page

• 4950

end page

• 4957

volume

• 219

issue

• 10

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.amc.2012.10.099