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Liu, Bingwen; Huang, Lihong

Periodic solutions for a class of forced Liénard-type equations. (English) Zbl 1093.34020

Acta Math. Appl. Sin., Engl. Ser. 21, No. 1, 81-92 (2005).
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.
Reviewer: Fuhua Ling (Milpitas)

Cited in 8 Documents

MSC:

34C25 Periodic solutions to ordinary differential equations
47H11 Degree theory for nonlinear operators

Keywords:

Liénard-type equation; periodic solution; topological degree
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\textit{B. Liu} and \textit{L. Huang}, Acta Math. Appl. Sin., Engl. Ser. 21, No. 1, 81--92 (2005; Zbl 1093.34020)
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References:

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