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Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation. (English) Zbl 0751.34009
Let $$t_ 0<t_ 1<\cdots<t_ i<\cdots,\lim_{i\to\infty}t_ i=\infty$$ be a given sequence of real numbers. Consider the linear differential equation $$dx/dt=A(t)x$$, $$(t\neq t_ i)$$ with impulses $$x(t_ i+0)=B_ ix(t_ i)$$, $$i=1,2,\ldots$$. The main result establishes that the ordinary dichotomy is preserved under perturbations of the coefficient matrix $$A(t)$$.
Reviewer: P.Smith (Keele)

##### MSC:
 34A37 Ordinary differential equations with impulses 34D05 Asymptotic properties of solutions to ordinary differential equations 34D10 Perturbations of ordinary differential equations
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