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

Authors

  • A. Tari 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.

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Journal title

volume 40  issue 4

pages  851- 862

publication date 2014-08-01

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