On the solvability of the antiperiodic boundary value problem for systems of linear generalized differential equations

Author:

Ashordia Malkhaz1

Affiliation:

1. A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6 Tamarashvili St., Tbilisi0177; and Sukhumi University, 12 Politkovskaia St., Tbilisi 0186, Georgia

Abstract

AbstractAn antiperiodic boundary value problem is considered for systems of linear generalized differential equations. A Green-type theorem on the unique solvability of the problem and representation of its solution are established. Effective necessary and sufficient conditions (of spectral type) are given for the unique solvability of the problem as well.

Funder

Shota Rustaveli National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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4. On the existence of nonnegative solutions of the periodic boundary value problem for a system of linear generalized ordinary differential equations;Mem. Differ. Equ. Math. Phys.,1997

5. On systems of linear differentio-Stieltjes-integral equations;Illinois J. Math.,1959

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