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Symmetry 2018, 10(6), 207; https://doi.org/10.3390/sym10060207

Nonoscillatory Solutions to Second-Order Neutral Difference Equations

1
Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland
2
Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
*
Author to whom correspondence should be addressed.
Received: 30 April 2018 / Revised: 31 May 2018 / Accepted: 5 June 2018 / Published: 8 June 2018
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Abstract

We study asymptotic behavior of nonoscillatory solutions to second-order neutral difference equation of the form: Δ ( r n Δ ( x n + p n x n τ ) ) = a n f ( n , x n ) + b n . The obtained results are based on the discrete Bihari type lemma and a Stolz type lemma. View Full-Text
Keywords: second-order difference equation; asymptotic behavior; nonoscillatory solution; quasi-difference second-order difference equation; asymptotic behavior; nonoscillatory solution; quasi-difference
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Migda, M.; Migda, J. Nonoscillatory Solutions to Second-Order Neutral Difference Equations. Symmetry 2018, 10, 207.

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