صندلی اداری

ON VOLTERRA TYPE INTEGRAL EQUATIONS IN HAUSDORFF SPACES

Atanaska Georgieva, Lozanka Trenkova, Slav Cholakov

Abstract


In this article we consider a generalization of the linear and nonlinear Volterra integral equations of first and second kind in the case when the independent variable belongs to arbitrary first-countable Hausdorff space. Sufficient conditions for the uniqueness of the solutions of the Volterra type integral equations of first kind are obtained. As an application of this result the existence of solution of nonlinear Volterra type integral equations of second kind is proved.

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