On the well-posedness of nonlocal boundary value problems for a class of systems of linear generalized differential equations with singularities-Reference-Cited by-同舟云学术

On the well-posedness of nonlocal boundary value problems for a class of systems of linear generalized differential equations with singularities

Published:2022-10-26 Issue:1 Volume:30 Page:1-18
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Akhalaia Shota¹,Ashordia Malkhaz²,Talakhadze Mzia¹

Affiliation:

1. Sukhumi State University , 61 Politkovskaia Str. , Tbilisi 0177 , Georgia

2. Andrea Razmadze Mathematical Institute of Ivane Javakhishvili Tbilisi State University , 2 Merab Aleksidze II Lane, 0193; and Sukhumi State University, 61 Politkovskaia Str. , Tbilisi 0177 , Georgia

Abstract

Abstract The well-posed problem for a nonlocal boundary value problem is considered for a singular system of linear generalized ordinary differential equations. The considered system is analogous to the system corresponding to the n-order ordinary differential equation. Along with the standard well-posed question, there is considered the so-called conditionally well-posed one. The effective sufficient conditions are established for both problems.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2184/pdf

Reference22 articles.

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3. M. Ashordia, Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations, Czechoslovak Math. J. 46(121) (1996), no. 3, 385–404.

4. M. Ashordia, On the general and multipoint boundary value problem for linear systems of generalized ordinary differential equations, linear impulsive and linear difference systems, Mem. Differ. Equ. Math. Phys. 36 (2005), 1–80.

5. M. T. Ashordia, On boundary value problems for systems of linear generalized ordinary differential equations with singularities (in Russian), Differ. Uravn. 42 (2006), no. 3, 291-301

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