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

DOI10.1515/gmj-2020-2052zbMath1477.34002OpenAlexW3006722338MaRDI QIDQ1983488

Mzia Talakhadze, Malkhaz Ashordia, Inga Gabisonia

Publication date: 10 September 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2020-2052

zbMATH Keywords

singularitiesCauchy problemunique solvabilityKurzweil integralspectral conditioneffective sufficient conditionslinear systems of generalized ordinary differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (2)

On the numerical solvability of the initial problem with weight for ordinary linear differential systems with singularities ⋮ On the well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities

Cites Work

• On some boundary value problems for linear generalized differential systems with singularities
• On boundary value problems for systems of linear generalized ordinary differential equations with singularities
• Generalized ordinary differential equations and continuous dependence on a parameter
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities