Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type

Document Type : Research Paper

Authors
1 Faculty of Mathematical Sciences, University of Tabriz
2 University of Tabriz, Faculty of Mathematical Sciences
3 Faculty of Sciences, Shahed University
Abstract
In this paper‎, ‎existence of an $L^p$-solution for 2DIEs (Two‎
‎Dimensional Integral Equations) of the Hammerstein type is‎
‎discussed‎. ‎The main tools in this discussion are Schaefer's and‎
‎Schauder's fixed point theorems with a general version of‎
‎Gronwall's inequality‎.
Keywords
Subjects

Volume 40, Issue 4 - Serial Number 4
August 2014
Pages 851-862

  • Receive Date 06 May 2012
  • Revise Date 19 June 2013
  • Accept Date 20 June 2013