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

DOI10.1515/GMJ-2022-2154zbMath1505.34003OpenAlexW4286488103WikidataQ115236317 ScholiaQ115236317MaRDI QIDQ2082111

Malkhaz Ashordia

Publication date: 4 October 2022

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

Full work available at URL: https://doi.org/10.1515/gmj-2022-2154

zbMATH Keywords

singularitieswell-posednessimpulsive differential systemsKurzweil integralspectral conditioneffective sufficient conditionslinear systems of generalized ordinary differential equationsCauchy problem with weight

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Denjoy and Perron integrals, other special integrals (26A39) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Cites Work

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• On some boundary value problems for linear generalized differential systems with singularities
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• On boundary value problems for systems of linear generalized ordinary differential equations with singularities
• Generalized ordinary differential equations and continuous dependence on a parameter
• Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations
• On the solvability of the modified Cauchy problem for linear systems of impulsive differential equations with singularities
• Kurzweil–Stieltjes Integral

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