J Austral Math Soc Ser A 47 pp280--299, 1989.

Sufficient Conditions for the Strong Stability of the Differential Equation [p(D) + f(t)q(D)]y = 0

A. Howe

(Received 10 March 1988; revised 21 June 1988)

Abstract

A number of sufficient conditions for stability or strong stablility, as used in the context of Hamiltonian systems, are found for the differential equation

[p(D) + f(t)q(D)]y = 0

where the continuous function f(t) is periodic of period w in t, D = d/dt and p(s), q(s) are real monic polynomials having special properties which allow the differential equation to be transformed into a canonical system of k second order equations.

1980 AMS Subject Classification (1985 Revision): 34C11, 58F05

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Authors

A. Howe: Department of Mathematics, Facualty of Science, Australian National University, P. O. Box 4, Canberra, ACT 2601, Australia.

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Last Modified: Wed Feb 19 10:27:50 2003