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Periodic solutions for a class of forced Liénard-type equations - MaRDI portal

Periodic solutions for a class of forced Liénard-type equations (Q2577648)

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Periodic solutions for a class of forced Liénard-type equations
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    Periodic solutions for a class of forced Liénard-type equations (English)
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    5 January 2006
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    By applying the topological degree theory, some sufficient conditions for the existence of \(T\)-periodic solutions for the Liénard-type equation \[ x''+\Sigma^n_{i=1} h_i(x)| x'| ^{2\alpha_i}+f_1(x)| x'| ^2+f_2(x)x'+g(t,x)=p(t) \] are established.
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    Liénard-type equation
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    periodic solution
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    topological degree
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