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Zbl 1093.34020
Liu, Bingwen; Huang, Lihong
Periodic solutions for a class of forced Liénard-type equations.
(English)
[J] Acta Math. Appl. Sin., Engl. Ser. 21, No. 1, 81-92 (2005). ISSN 0168-9673; ISSN 1618-3932/e

By applying the topological degree theory, some sufficient conditions for the existence of $T$-periodic solutions for the Liénard-type equation $$x''+\Sigma^n_{i=1} h_i(x)\vert x'\vert ^{2\alpha_i}+f_1(x)\vert x'\vert ^2+f_2(x)x'+g(t,x)=p(t)$$ are established.
[Fuhua Ling (Milpitas)]
MSC 2000:
*34C25 Periodic solutions of ODE
47H11 Degree theory

Keywords: Liénard-type equation; periodic solution; topological degree

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