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Growth theorems for homogeneous second-order difference equations

Published online by Cambridge University Press:  17 February 2009

Stevo Stević
Stevo Stević
Affiliation:
Matematički Fakultet, Studentski Trg 16, 11000 Beograd, Yugoslavia; e-mail: [email protected].
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Abstract

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In this paper we investigate the boundedness and asymptotic behaviour of the solutions of a class of homogeneous second-order difference equations with a single non-constant coefficient. These equations model, for example, the amplitude of oscillation of the weights on a discretely weighted vibrating string. We present several growth theorems. Two examples are also given.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 4 , April 2002 , pp. 559 - 566
Copyright
Copyright © Australian Mathematical Society 2002

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