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Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations

Published online by Cambridge University Press:  17 February 2009

John R. Graef ,
Agnes Miciano ,
Paul W. Spikes ,
P. Sundaram  and
E. Thandapani
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Abstract

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The authors consider the higher-order nonlinear neutral delay difference equation

and obtain results on the asymptotic behavior of solutions when (pn) is allowed to oscillate about the bifurcation value –1. We also consider the case where the sequence {pn} has arbitrarily large zeros. Examples illustrating the results are included, and suggestions for further research are indicated.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 2 , October 1996 , pp. 163 - 171
Copyright
Copyright © Australian Mathematical Society 1996

References

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