On stability in terms of two measures for impulsive systems of functional differential equations (Q860936)
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scientific article; zbMATH DE number 5083563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stability in terms of two measures for impulsive systems of functional differential equations |
scientific article; zbMATH DE number 5083563 |
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On stability in terms of two measures for impulsive systems of functional differential equations (English)
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9 January 2007
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The authors consider the following impulsive functional equations \[ \begin{cases} x'(t)=f(t,x_t), &t\in[t_{k-1},t_k),\\ x(t_k)=J_k(x(t^-_k)), &k=1, 2, \dots,\\ x_{t_0}=\phi. \end{cases} \] 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.
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stability
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impulsive systems of functional-differential equations
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