Periodic solutions of some fourth-order nonlinear differential equations

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摘要

Using inequality techniques and coincidence degree theory, new results are provided concerning the existence of T-periodic solutions for fourth-order nonlinear differential equations. Two illustrative examples are provided to demonstrate that the results in this paper hold under weaker conditions than the existing ones, and are more effective.

论文关键词:Fourth-order nonlinear differential equations,Periodic solutions,Existence,Mawhin’s continuation theorem

论文评审过程:Received 13 December 2008, Revised 30 June 2009, Available online 4 July 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.07.003