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

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

This paper deals with some sufficient conditions for the bounded oscillation criteria for the second-order nonlinear delay difference equation Δ 2 x n = ∑ i = 1 m p i x n − k i + f ( n , x n − l 1 , … , x n − l s ) , n = 0 , 1 , 2 , … . In addition, we generalize and improve the existing results, an...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2008-10, Vol.56 (7), p.1797-1807
Hauptverfasser: Debnath, L., Jiang, J.C.
Format: Artikel
Sprache:eng
Schlagworte:
Bounded oscillation
Criteria
Delay
Difference equation
Difference equations
Mathematical models
Nonlinearity
Oscillations
Unstable type
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Zusammenfassung:This paper deals with some sufficient conditions for the bounded oscillation criteria for the second-order nonlinear delay difference equation Δ 2 x n = ∑ i = 1 m p i x n − k i + f ( n , x n − l 1 , … , x n − l s ) , n = 0 , 1 , 2 , … . In addition, we generalize and improve the existing results, and then give some examples of applications.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2008.04.006