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On stability in terms of two measures for impulsive systems of functional differential equations. (English) Zbl 1112.34059
The authors consider the following impulsive functional equations $$\cases x'(t)=f(t,x_t), &t\in[t_{k-1},t_k),\\ x(t_k)=J_k(x(t^-_k)), &k=1, 2, \dots,\\ x_{t_0}=\phi. \endcases$$ They establish criteria for $(h_0,h)$-uniform stability, $(h_0,h)$-equiasymptotic stability, and $(h_0,h)$-uniform asymptotic stabiliy. The results are illustrated by examples.

##### MSC:
 34K20 Stability theory of functional-differential equations 34K45 Functional-differential equations with impulses
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##### References:
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