Abstract

In this paper, for the first time, an overridden system of Volterra-type integral equations with singular or super-singular kernels is considered. It is proved that, when certain conditions are met, the problem of finding a solution to an over determined Volterra type system of integral equations reduces to the problem of finding a solution to one-dimensional Volterra-type integral equations with singular or super-singular kernels, the theory of which is developed in the works of the author of this article. Depending on the sign of the values of functions in the kernels of the system of Volterra type integral equations, found manifold solution consideration system integral equation.

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