Electron. J. Diff. Equ., Vol. 2012 (2012), No. 137, pp. 1-12.

Existence of solutions for mixed Volterra-Fredholm integral equations

Asadollah Aghajani, Yaghoub Jalilian, Kishin Sadarangani

Abstract:
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,\infty)$. Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes of nonlinear integral equations. Our results extend some previous works.

Submitted May 11, 2012. Published August 19, 2012.
Math Subject Classifications: 45G10, 47H08.
Key Words: Functional integral equation; fixed-point; Nemytski operator; measure of weak noncompactness; Caratheodory conditions.

Show me the PDF file (246 KB), TEX file, and other files for this article.

Asadollah Aghajani
School of Mathematics
Iran University of Science and Technology
Narmak, Tehran 16846-13114, Iran
email: aghajani@iust.ac.ir
Yaghoub Jalilian
Department of Mathematics
Razi University
Kermanshah 67149, Iran
email: yajalilian@iust.ac.ir
Kishin Sadarangani
Department of Mathematics
University of Las Palmas de Gran Canaria
35017 Las Palmas de Gran Canaria, Spain
email: ksadaran@dma.ulpgc.es

Return to the EJDE web page