Anti-periodic solutions of Liénard equations with state dependent impulses (Q305429)
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scientific article; zbMATH DE number 6620359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Anti-periodic solutions of Liénard equations with state dependent impulses |
scientific article; zbMATH DE number 6620359 |
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Anti-periodic solutions of Liénard equations with state dependent impulses (English)
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29 August 2016
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The authors study the existence of anti-periodic solutions of Liénard equations with state dependent impulses. Assuming some a priori bounds, the existence of a unique anti-periodic solution is established. Moreover, they construct a sequence of iterates converging point-wise to the solution and provide a bound for the rate of convergence. Results are applied to the equations of Josephson and van der Pol.
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Liénard equations
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anti-periodic solutions
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state dependent impulses
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generalized functions
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Josephson's equation
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van der Pol's equation
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