一类保守型limedard方程的周期解

4open Pub Date : 2019-01-01 DOI:10.1051/FOPEN/2019003

E. R. Korfanty, Ankai Liu, W. Feng

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引用次数: 0

摘要

本文研究了一类二阶微分方程在周期边界条件下的守恒lisamadard形式的可解性。分别得到了非平凡t周期解和正t周期解的存在性。通过实例说明了这些定理的应用。应用重合度理论对半线性算子方程进行了验证。

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Periodic solutions for a class of conservative Liénard-type equations

In this paper, we study solvability of a class of second-order differential equations in a conservative Liénard form subject to periodic boundary conditions. Results on existence of non-trivial T-periodic solutions or positive T-periodic solutions are obtained respectively. Applications of the theorems are shown by examples. The results are proved by applying the coincidence degree theory for semilinear operator equations.

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