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On Volterra-Fredholm integral equation in two variables. (English) Zbl 1186.45010

Summary: The aim of this paper is to study the existence, uniqueness and other properties of solution of a certain Volterra-Fredholm integral equation in two independent variables. The main tools employed in the analysis are based on the applications of the well known Banach fixed point theorem and the new integral inequality with explicit estimate.

MSC:

45G15 Systems of nonlinear integral equations
45B05 Fredholm integral equations
45D05 Volterra integral equations