On the existence of solutions of some functional integral equations in L^p(R_+)

  • Mahmoud Bousselsal ENS Kouba
Keywords: the space of Lebesgue integrable functions, measure of noncompactness

Abstract

In this paper, we study the existence of solutions for a functional integral equations by using Darbo's fixed point theorem and a measure of noncompactness on the spaces Lp(R+), 1 <p<+∞. The obtained result generalizes and extends several one obtained earlier in many papers and monographs. An example which shows the applicability of our result is also included.

Published
2020-09-24
How to Cite
Bousselsal, M. (2020). On the existence of solutions of some functional integral equations in L^p(R_+). Gulf Journal of Mathematics, 9(1). Retrieved from https://gjom.org/index.php/gjom/article/view/452
Section
Articles