Electronic Journal of Differential Equations (Aug 2012)

Existence of solutions for mixed Volterra-Fredholm integral equations

  • Asadollah Aghajani,
  • Yaghoub Jalilian,
  • Kishin Sadarangani

Journal volume & issue
Vol. 2012, no. 137,
pp. 1 – 12

Abstract

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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.

Keywords