On the necessary and sufficient conditions for well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities

Abstract Necessary and sufficient conditions, as well as effective sufficient conditions, are established for the well-posedness of the Cauchy problem with weight for linear systems of generalized ordinary differential equations with singularities.

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Publication Details

Journal
Georgian Mathematical Journal
Published
2026-01-20
DOI
https://doi.org/10.1515/gmj-2025-2093
Primary Topic
Differential Equations and Boundary Problems
Type
article
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On the necessary and sufficient conditions for well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities

Malkhaz Ashordia
Georgian Mathematical Journal
Differential Equations and Boundary Problems
article

On the necessary and sufficient conditions for well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities

Malkhaz Ashordia
article en

Abstract

Abstract Necessary and sufficient conditions, as well as effective sufficient conditions, are established for the well-posedness of the Cauchy problem with weight for linear systems of generalized ordinary differential equations with singularities.

Georgian Mathematical Journal
Tbilisi State University (GE)
Openalex Percentile: Top 82%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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On the necessary and sufficient conditions for well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities — Malkhaz Ashordia · Georgian Mathematical Journal (2026) | TGRS Research Map | TGRS