scholarly journals On the Invariant Manifolds of the Fixed Point of a Second-Order Nonlinear Difference Equation

2020 ◽  
Vol 26 (4) ◽  
pp. 673-684
Author(s):  
Mehmet Turan
Keyword(s):  
Fixed Point ◽  
Difference Equation ◽  
Invariant Manifolds ◽  
Second Order ◽  
Nonlinear Difference Equation

scholarly journals Existence of One-Signed Solutions of Discrete Second-Order Periodic Boundary Value Problems

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Ruyun Ma ◽  
Yanqiong Lu ◽  
Tianlan Chen
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Difference Equation ◽  
Boundary Conditions ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Second Order ◽  
Nonlinear Difference Equation ◽  
Periodic Boundary Value Problems ◽  
The Fixed Point Theorem

We prove the existence of one-signed periodic solutions of second-order nonlinear difference equation on a finite discrete segment with periodic boundary conditions by combining some properties of Green's function with the fixed-point theorem in cones.

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.

Sign in / Sign up

Export Citation Format

Share Document