Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics (Q5937184)
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scientific article; zbMATH DE number 1618647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics |
scientific article; zbMATH DE number 1618647 |
Statements
Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics (English)
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22 October 2003
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stability
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Lyapunov-Razumikhin function
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impulsive functional-differential equations
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impulsive delay logistic equation
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The authors consider the following system of functional-differential equations NEWLINE\[NEWLINE \dot{x}(t)=f(t,x_t),\quad t>t_0,\;t\neq t_k;\qquad x(t_k+0)-x(t_k-0)=I_k(x(t_k-0)),\quad t_k>t_0. NEWLINE\]NEWLINE They obtain sufficient conditions for stability, uniform stability and asymptotic stability. As an application they investigate an impulsive delay logistic equation. Stability conditions obtained for this equation are not explicit.
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