Monotonicity of Eventually Positive Solutions for a Second Order Nonlinear Difference Equation

Monotonicity of Eventually Positive Solutions for a Second Order Nonlinear Difference Equation

We derive several sufficient conditions for monotonicity of eventually positive solutions on a class of second order perturbed nonlinear difference equation. Furthermore, we obtain a few nonexistence criteria for eventually positive monotone solutions of this equation. Examples are provided to illus...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2013-01, Vol.2013 (2013), p.403-407-148
Hauptverfasser: Huiqin, Chen, Jin, Zhen, Kang, Shugui
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Difference equations
Differential equations, Nonlinear
Mathematical analysis
Mathematical research
Nonlinear dynamics
Nonlinearity
Perturbation (Mathematics)
Studies
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Zusammenfassung:We derive several sufficient conditions for monotonicity of eventually positive solutions on a class of second order perturbed nonlinear difference equation. Furthermore, we obtain a few nonexistence criteria for eventually positive monotone solutions of this equation. Examples are provided to illustrate our main results.
ISSN:1026-0226
1607-887X
DOI:10.1155/2013/635149