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Open Access Research

Linear overdetermined boundary value problems in Hilbert space

Vladimir P Maksimov

Author Affiliations

Perm State University, Bukirev Street 15, Perm 614990, Russia

Boundary Value Problems 2014, 2014:140  doi:10.1186/s13661-014-0140-4

Published: 11 July 2014

Abstract

The general linear boundary value problem for an abstract functional differential equation is considered in the case that the number of boundary conditions is greater than the dimension of the null-space to the corresponding homogeneous equation. Sufficient conditions of the solvability of the problem are obtained. A case of a functional differential system with aftereffect is considered separately.

Keywords:
functional differential equations; boundary value problems; ill-posed problems