Minimal and maximal solutions of fourth-order nonlinear difference equations

2015 ◽  
Vol 21 (3) ◽  
pp. 255-268 ◽  
Author(s):  
Zuzana Došlá ◽  
Jana KrejČová ◽  
Mauro Marini
Keyword(s):  
Fourth Order ◽  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Maximal Solutions ◽  
Minimal And Maximal Solutions

Existence of periodic solutions with minimal period for fourth-order discrete systems via variational methods

2020 ◽  
Vol 21 (6) ◽  
pp. 635-640
Author(s):  
Lianwu Yang
Keyword(s):  
Periodic Solution ◽  
Variational Method ◽  
Fourth Order ◽  
Difference Equations ◽  
Discrete Systems ◽  
Point Theory ◽  
Existence Results ◽  
Minimal Period ◽  
Nonlinear Difference Equations ◽  
Existence Of Periodic Solutions

AbstractBy using critical point theory, some new existence results of at least one periodic solution with minimal period pM for fourth-order nonlinear difference equations are obtained. Our approach used in this paper is a variational method.

scholarly journals Riccati Techniques, Discrete Oscillation and Conjugacy Criteria for Fourth Order Nonlinear Difference Equations

2019 ◽  
Vol 8 (10S) ◽  
pp. 67-71
Keyword(s):  
Difference Equation ◽  
Fourth Order ◽  
Difference Equations ◽  
Linear Difference Equation ◽  
Nonlinear Difference Equations ◽  
Riccati Technique ◽  
Non Linear ◽  
Riccati Techniques ◽  
Oscillatory Properties

We discuss the discrete Oscillatory properties of Fourth order non linear difference equation. whereα >1. In particular we establish the discrete oscillation using Riccati Techniques and Conjugacy criteria. The Proofs of all the results in this paper are based on the Riccati technique.

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