Periodic solutions for Liénard type p-Laplacian equation with two deviating arguments

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摘要

In this paper, the Liénard type p-Laplacian equation with two deviating arguments (φp(x′(t)))′+f(x(t))x′(t)+g1(t,x(t−τ1(t)))+g2(t,x(t−τ2(t)))=e(t) is studied. By applying the coincidence degree theory, we obtain some new results on the existence of periodic solutions to this equation. Our results improve and extend some existing ones in the literature.

论文关键词:34C25,34D40,p-Laplacian,Liénard equation,Deviating argument,Periodic solution,Coincidence degree

论文评审过程:Received 25 July 2007, Revised 10 June 2008, Available online 14 June 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.06.007