Continuous dependence on the initial condition of the solution of a system of differential equations with variable structure and with impulses
type: Item
instance of: scholarly article
title: Continuous dependence on the initial condition of the solution of a system of differential equations with variable structure and with impulses
zbMATH Open document ID: 0644.34008
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1987-01-01T00:00:00Z
review text: An initial value problem is considered for a system of ordinary differential equations with variable structure and impulses. Sufficient conditions are found under which there exists a solution of such system for \(t\geq \tau_ 0\) where \(\tau_ 0\) is a real constant. Sufficient conditions are presented for continuous dependence of the solution of the initial condition.
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 4050021
zbMATH Keywords: switching functions
zbMATH Keywords: impulse function
zbMATH Keywords: first order differential equations
zbMATH Keywords: impulses
author: Angel B. Dishliev
author: Drumi Bainov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195175864
OpenAlex ID: W2006666449
cites work: Sur les systèmes déferlants
cites work: Systèmes dynamiques héréditaires à déferlement
cites work: Q3249934
cites work: Q3728425
DOI: 10.2977/PRIMS/1195175864
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description: scientific article; zbMATH DE number 4050021