On the numerical solvability of the initial problem with weight for ordinary linear differential systems with singularities-Reference-Cited by-同舟云学术

On the numerical solvability of the initial problem with weight for ordinary linear differential systems with singularities

Published:2023-06-01 Issue:5 Volume:30 Page:639-657
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Anjaparidze Besarion¹,Ashordia Malkhaz²,Kublashvili Murman³

Affiliation:

1. I. Javakhishvili Tbilisi State University , 2, University Str. , Tbilisi 0177 , Georgia

2. A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University , 2 Merab Aleksidze II Lane, 0193; and Sukhumi State University, 61 A. Politkovskaia Str. , Tbilisi 0186 , Georgia

3. Muskhelishvili Institute of Computational Mathematics of Georgian Technical University , 4 Grigol Peradze Str. , Tbilisi 0159 , Georgia

Abstract

Abstract The effective sufficient conditions are established for the numerical approximation of solutions of the initial problem with weight for linear systems of ordinary differential equations with singularities.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2029/pdf

Reference20 articles.

1. 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.

2. M. Ashordiya, On boundary value problems for systems of linear generalized ordinary differential equations with singularities (in Russian), Differ. Uravn. 42 (2006), no. 3, 291-301, 429

3. translation in Differ. Equ. 42 (2006), no. 3, 307-319.

4. M. Ashordiya, On some boundary value problems for linear generalized differential systems with singularities (in Russian), Differ. Uravn. 46 (2010), no. 2, 163-177

5. translation in Differ. Equ. 46 (2010), no. 2, 167-181.