A non-homogeneous Hill’s equation

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摘要

The existence of periodic solutions for a forced Hill’s equation is proved. The proof is then extended to the case of a non-homogeneous matrix valued Hill’s equation. Under the stated conditions, using Lyapunov’s criteria [Proc. AMS 13 (1962) 601; Hill’s Equation, Interscience Publishers, New York, 1966] some results on the stability oh Hill’s equation are obtained.

论文关键词：Hill’s equation,Periodic solution

论文评审过程：Available online 2 September 2004.

论文官网地址：https://doi.org/10.1016/j.amc.2004.06.072