Boundary value problems for some nonclassical Degenerate integro-differential equations of volterra type of high order
0000-0003-4376-4003 This paper is devoted to the study of the solvability of boundary value problems for degenerate high-order integro-differential equations of Volterra type defined on the interval [0,T]. A distinctive feature of the problems under consideration is that at the boundary points of the interval [0,T], where the equation degenerates, the boundary data are specified in full and are not removed. The aim of the paper is to prove the existence and uniqueness of regular solutions to these problems, that is, solutions possessing all derivatives generalized in the sense of S.L.Sobolev, included in the corresponding equations.
УДК 517.968.7
Keywords: degenerate integro-differential equations of Volterra type, boundary value problems, regular solutions, existence, uniqueness