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Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces. (English) Zbl 0674.34005
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.
Reviewer: N.H.Pavel

##### MSC:
 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
##### Keywords:
Cauchy problem; impulses
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##### References:
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