Periodic solutions of forced Liénard equations (Q1200106)
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scientific article; zbMATH DE number 96745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of forced Liénard equations |
scientific article; zbMATH DE number 96745 |
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Periodic solutions of forced Liénard equations (English)
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17 January 1993
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The paper proves sufficient conditions for the existence of \(T\)-periodic solutions \(x(t)\) of the differential equation \(\ddot x+f(x)\dot x+g(t,x)=e(t)\) where \(g(t+T,x)=g(t,x)\) and \(e(t+T)=e(t)\). The theory of nonhomogeneous linear periodic systems and the Schauder fixed point theorem are used.
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Liénard equations
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periodic solutions
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nonhomogeneous linear periodic systems
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Schauder fixed point theorem
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0.9967216
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0.99422276
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0.9820247
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0.9781132
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0.9682542
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0.9609711
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