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A non-homogeneous Hill's equation

Shadman, D ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1016/j.amc.2004.06.072
  3. Publisher: 2005
  4. Abstract:
  5. 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. © 2004 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Lyapunov methods ; Matrix algebra ; Stability ; Hill's equation ; Non-homogeneous matrix ; Periodic solution ; Theorem proving
  8. Source: Applied Mathematics and Computation ; Volume 167, Issue 1 , 2005 , Pages 68-75 ; 00963003 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0096300304004734