Article ID Journal Published Year Pages File Type
9506460 Applied Mathematics and Computation 2005 8 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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