Existence of periodic solutions of impulsive differential systems (Q809239)
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scientific article; zbMATH DE number 4210559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of periodic solutions of impulsive differential systems |
scientific article; zbMATH DE number 4210559 |
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Existence of periodic solutions of impulsive differential systems (English)
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1991
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Summary: The existence of periodic solutions of impulsive differential systems is considered. Since the solutions of such a system are piecewise continuous, it is necessary to introduce piecewise continuous Lyapunov functions. By means of such functions, together with the comparison principle, some sufficient conditions for the existence of periodic solutions of impulsive differential systems are established.
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Brouwer fixed point theorem
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periodic solutions of impulsive differential systems
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piecewise continuous Lyapunov functions
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comparison principle
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