ON THE SOLUTIONS OF INTEGRAL AND INTEGRO-DIFFERENTIAL VOLTERRA EQUATIONS OF THE THIRD KIND
In this paper it is shown that integral and integro-differential Volterra equations of the third kind have eigenvalues and eigenfunctions. For a new class of integro-differential Volterra equations of the third kind, vanishing solutions are constructed. In this case, the concept of an operator solution in the sense of V.V. Bykov is used. Illustrative examples are constructed.