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

Document Type : Research Paper


1 Faculty of Mathematical Sciences, University of Tabriz

2 University of Tabriz, Faculty of Mathematical Sciences

3 Faculty of Sciences, Shahed University


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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