Periodic solutions of forced Liénard equations (Q1200106)

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scientific article; zbMATH DE number 96745
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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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