Periodic solutions of nonlinear second-order differential equations with discontinuous right-hand sides (Q796716)
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scientific article; zbMATH DE number 3865742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of nonlinear second-order differential equations with discontinuous right-hand sides |
scientific article; zbMATH DE number 3865742 |
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Periodic solutions of nonlinear second-order differential equations with discontinuous right-hand sides (English)
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1984
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The paper deals with the second order differential equation ẍ\(=f(t,x,\dot x)\) with right-hand side periodic in t and discontinuous by \(x=0\). Under some assumptions an iterative procedure for constructing periodic solutions is given. The existence theorem of T-periodic solution is proved and the error for the approximate solution is estimated.
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iterative procedure
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approximate solution
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