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On a class of integrable time-dependent dynamical systems

Bartuccelli, M. V. and Gentile, G. (2002) On a class of integrable time-dependent dynamical systems Physics Letters A, 307. pp. 274-280.

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Abstract

We present some integrable time-dependent systems of classical dynamics, and we apply the results to the equation x.. + f(t)x = 0, with f a positive nondecreasing differentiable function; some of the results are extended to the nonlinear case. Moreover we investigate the conditions for the solutions to be bounded and we study their asymptotic behaviour.

Item Type: Article
Additional Information: This is a pre-press version of an article published in Physics Letters A, 307, 274-280. Copyright © 2002 Elsevier Science B.V. All rights reserved. Click here to access the publisher's version.
Uncontrolled Keywords: Integrable systems, Time-dependent potentials, Boundedness of solutions
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:42
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1535

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