The Stability Surfaces of a Hill’s Equation With Several Small Parameters

[+] Author and Article Information
L. A. Rubenfeld

Department of Mathematics, Rensselaer Polytechnic Institute, Troy, N. Y.

J. Appl. Mech 40(4), 1107-1109 (Dec 01, 1973) (3 pages) doi:10.1115/1.3423134 History: Received August 01, 1972; Online July 12, 2010


The stability surfaces of a Hill’s equation with three independent small parameters are investigated using an extension of a perturbation method due to Struble. The method is applied up to second order but it is clear that it can be extended to any desired order and to other equations having any number of small parameters.

Copyright © 1973 by ASME
Topics: Stability , Equations
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