scholarly journals GLOBAL STABILITY OF SECOND ORDER NONLINEAR DIFFERENCE EQUATION

2021 ◽  
Vol 23 (2) ◽  
pp. 201-223
Author(s):  
Hanan S. Gafel
Keyword(s):  
Difference Equation ◽  
Global Stability ◽  
Second Order ◽  
Nonlinear Difference Equation

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

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Huiqin Chen ◽  
Zhen Jin ◽  
Shugui Kang
Keyword(s):  
Difference Equation ◽  
Positive Solutions ◽  
Sufficient Conditions ◽  
Second Order ◽  
Nonlinear Difference Equation ◽  
Monotone Solutions

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.

scholarly journals On a class of second-order nonlinear difference equation

2011 ◽  
Vol 2011 (1) ◽  
pp. 46 ◽  
Author(s):  
Li Dongsheng ◽  
Zou Shuliang ◽  
Liao Maoxin
Keyword(s):  
Difference Equation ◽  
Second Order ◽  
Nonlinear Difference Equation

Oscillation Theorems of Nonlinear Difference Equations of Second Order

2003 ◽  
Vol 10 (2) ◽  
pp. 343-352
Author(s):  
S. H. Saker
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Second Order ◽  
Nonlinear Difference Equation ◽  
Riccati Transformation ◽  
Nonlinear Difference Equations ◽  
Transformation Techniques ◽  
Oscillation Criteria ◽  
Special Cases ◽  
Oscillation Theorems

Abstract Using the Riccati transformation techniques, we establish some new oscillation criteria for the second-order nonlinear difference equation Some comparison between our theorems and the previously known results in special cases are indicated. Some examples are given to illustrate the relevance of our results.

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