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Zbl 1071.34041
Zhou, Jin; Sun, Shu; Liu, Zengrong
Periodic solutions of forced Liénard-type equations. (English)
[J] Appl. Math. Comput. 161, No. 2, 655-666 (2005). ISSN 0096-3003

The authors establish the existence of periodic solutions for forced Liénard-type equations $$\ddot{x}+f_1(x)\dot{x}+f_2(x)\dot{x}^2+g(x)=e(t)$$ under appropriate conditions based on Mawhin's coincidence degree theory and Borsuk's theorem.
[Haiyan Wang (Phoenix)]

MSC 2000:: *34C25 Periodic solutions of ODE

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

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