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Stability of the Non-Hyperbolic Zero Equilibrium of Two Close-to-Symmetric Systems of Difference Equations with Exponential Terms
Open AccessArticle

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.
Symmetry 2018, 10(6), 207; https://doi.org/10.3390/sym10060207
Received: 30 April 2018 / Revised: 31 May 2018 / Accepted: 5 June 2018 / Published: 8 June 2018
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
MDPI and ACS Style

Migda, M.; Migda, J. Nonoscillatory Solutions to Second-Order Neutral Difference Equations. Symmetry 2018, 10, 207.

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