On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities-Reference-Cited by-同舟云学术

On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities

Published:2020-02-18 Issue:1 Volume:28 Page:29-47
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Ashordia Malkhaz¹,Gabisonia Inga²,Talakhadze Mzia²

Affiliation:

1. A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University , 6 Tamarashvili Str., 0177; and Sukhumi State University, 61 A. Politkovskaia Str. , Tbilisi 0186 , Georgia

2. Sukhumi State University , 61 A. Politkovskaia Str. , Tbilisi 0186 , Georgia

Abstract

Abstract Effective sufficient conditions are given for the unique solvability of the Cauchy problem for linear systems of generalized ordinary differential equations with singularities.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference13 articles.

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

2. M. Ashordia, The initial problem for linear systems of generalized ordinary differential equations, linear impulsive and ordinary differential systems. Numerical solvability, Mem. Differ. Equ. Math. Phys. 78 (2019), 1–162.

3. 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

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

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

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