Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces
type: Item
instance of: scholarly article
title: Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces
zbMATH Open document ID: 0674.34005
DOI: 10.1016/0022-247X(88)90161-8
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The authors consider the Cauchy problem for the differential system \(x'=f(t,x)\), \(t\neq t_ i\) \((i=1,2,...)\), \(x\in D\subset R^ n\) with the impulses \(x(t_ i+)-x(t_ i)=I_{j_ i}(x(t_ i))\) where \(x(t_ i)\) belongs to a surface \(S_ i\). Some results on the continuous dependence of solution on the impulse surfaces \(S_ i\) are given.
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 4103469
zbMATH Keywords: Cauchy problem
zbMATH Keywords: impulses
author: Angel B. Dishliev
author: Drumi Bainov
reviewed by: N. H. Pavel
MaRDI profile type: Publication
cites work: Q2970111
cites work: Q5342777
cites work: On the stability of differential systems with respect to impulsive perturbations
cites work: Stability and asymptotic equivalence of measure differential equations
cites work: Sufficient conditions for absence of ”beating” in systems of differential equations with impulses
description: scientific article; zbMATH DE number 4103469