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Journal of Difference Equations and Applications Volume 11, 2005 - Issue 6
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Original Articles

Short Note: On non-oscillatory solutions of the recursive sequence

Sun TaixiangCorrespondence[email protected]
Pages 483-485 | Received 07 Sep 2004, Accepted 23 Sep 2004, Published online: 19 Aug 2006
 
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Abstract

R. Devault et al. (J. Diff. Eq. Appl., 2003) proposed the following open problem: Do there exist non-oscillatory solutions of the equation

where
p is positive and the initial conditions are arbitrary positive numbers. We confirm the truth of the open problem in this note.

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