ANZIAM J.
43 (2002), 559-566
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Growth theorems for homogeneous second-order difference equations
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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.
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