Modified Wiener equations.
The nonimprovable sufficient conditions for the unique solvability of the problem where is a linear bounded operator, , , are established which are different from the previous results. More precisely, they are interesting especially in the case where the operator is not of Volterra’s type with respect to the point .
We investigate simultaneous solutions of a system of Schroder's functional equations. Under certain assumptions these solutions are used in transformations of functional-differential equations the initial set of which consists of the initial point only.