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

DOI10.18514/MMN.2020.3248zbMath1463.34032MaRDI QIDQ4968933

Malkhaz Ashordia, Nato Kharshiladze

Publication date: 2 October 2020

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

linear systemssingularitiesimpulsive differential equationsunique solvabilitymodified Cauchy problem

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) Singular perturbations of functional-differential equations (34K26)

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

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