On a Restricted Class of Coupled Hill’s Equations and Some Applications

[+] Author and Article Information
C. S. Hsu

Department of Mechanical Engineering, University of California, Berkeley, Calif.

J. Appl. Mech 28(4), 551-556 (Dec 01, 1961) (6 pages) doi:10.1115/1.3641781 History: Received November 16, 1960; Online September 16, 2011


A class of systems of coupled Hill’s equations is studied. It is shown that for systems of equations in this class, completely decoupled Hill’s equations may be obtained and the stability of the solutions may be studied in a very much simpler manner. Several physically significant problems are treated to demonstrate the nature of the method.

Copyright © 1961 by ASME
Topics: Equations , Stability
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