New Razumikhin-type theorems on the stability for impulsive functional differential systems (Q876910)
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scientific article; zbMATH DE number 5144873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New Razumikhin-type theorems on the stability for impulsive functional differential systems |
scientific article; zbMATH DE number 5144873 |
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New Razumikhin-type theorems on the stability for impulsive functional differential systems (English)
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19 April 2007
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Some new Lyapunov functions technique is applied to the impulsive nonlinear functional differential equation \[ \begin{cases} x'(t)=f(t,x_t),&t\not= \tau_k,\\ x(t)=x(t^-)+I_k (x(t^-)),&t=\tau_k. \end{cases} \] Several interesting examples are given to show the advantages of results obtained in the paper.
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impulsive functional differential equations
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Lyapunov functions
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stability
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