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Computers & Mathematics with Applications
Volume 56, Issue 7, October 2008, Pages 1797-1807
 
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doi:10.1016/j.camwa.2008.04.006    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2008 Published by Elsevier Ltd.

Bounded oscillation criteria for second-order nonlinear delay difference equations of unstable type

L. Debnatha, Corresponding Author Contact Information, E-mail The Corresponding Author and J.C. Jiangb, c, E-mail The Corresponding Author

aDepartment of Mathematics, University of Texas - Pan American, Edinburg, TX 78539, USA bDepartment of Mathematics, Loudi Teacher’s College, Loudi, Hunan, 417000, PR China cDepartment of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Republic of Singapore

Received 18 May 2004; 
revised 14 March 2008; 
accepted 17 April 2008. 
Available online 13 June 2008.

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Abstract

This paper deals with some sufficient conditions for the bounded oscillation criteria for the second-order nonlinear delay difference equation

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In addition, we generalize and improve the existing results, and then give some examples of applications.

Keywords: Bounded oscillation; Difference equation; Unstable type

Article Outline

1. Introduction
2. Some auxiliary lemmas
3. Main results
4. Some new oscillation criteria for Eq. (43)
5. Some examples of applications
Acknowledgements
References

Computers & Mathematics with Applications
Volume 56, Issue 7, October 2008, Pages 1797-1807
 
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