Periodicity in General Delay Non-linear Difference Equations Using Fixed Point Theory

2003 ◽  
Vol -1 (1) ◽  
pp. 1-1 ◽  
Author(s):  
Youssef N. Raffoul
Keyword(s):  
Fixed Point ◽  
Difference Equations ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Linear Difference Equations ◽  
Non Linear

Stability by Fixed Point Theory for Nonlinear Delay Difference Equations

2009 ◽  
Vol 16 (4) ◽  
pp. 683-691
Author(s):  
Chuhua Jin ◽  
Jiaowan Luo
Keyword(s):  
Fixed Point ◽  
Difference Equations ◽  
Fixed Point Theory ◽  
Zero Solution ◽  
Point Theory ◽  
The Stability ◽  
Delay Difference Equations ◽  
Delay Difference ◽  
Nonlinear Delay

Abstract We study the stability of the zero solution of nonlinear delay difference equations by fixed point theory. An example is given to illustrate our theory.

scholarly journals Existence results for nonlinear fractional q-difference equations with nonlocal Riemann-Liouville q-integral boundary conditions

Filomat ◽  
2016 ◽  
Vol 30 (9) ◽  
pp. 2521-2533 ◽  
Author(s):  
Wengui Yang
Keyword(s):  
Fixed Point ◽  
Boundary Conditions ◽  
Difference Equations ◽  
Fixed Point Theory ◽  
Integral Boundary Conditions ◽  
Point Theory ◽  
Uniqueness Of Solutions ◽  
Integral Boundary ◽  
Nonlinear Alternative ◽  
Krasnoselskii Fixed Point Theorem

This paper deals with the existence and uniqueness of solutions for a class of nonlinear fractional q-difference equations boundary value problems involving four-point nonlocal Riemann-Liouville q-integral boundary conditions of different order. Our results are based on some well-known tools of fixed point theory such as Banach contraction principle, Krasnoselskii fixed point theorem, and the Leray-Schauder nonlinear alternative. As applications, some interesting examples are presented to illustrate the main results.

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