On the Existence of Entire Solutions of Certain Class of Nonlinear Difference Equations

2017 ◽  
Vol 14 (3) ◽  
Author(s):  
Zinelâabidine Latreuch
Keyword(s):  
Difference Equations ◽  
Entire Solutions ◽  
Nonlinear Difference Equations

scholarly journals Existence of entire solutions of nonlinear difference equations

2011 ◽  
Vol 61 (2) ◽  
pp. 565-576 ◽  
Author(s):  
Kai Liu ◽  
Lianzhong Yang ◽  
Xinling Liu
Keyword(s):  
Difference Equations ◽  
Entire Solutions ◽  
Nonlinear Difference Equations

Solutions for Several Quadratic Trinomial Difference Equations and Partial Differential Difference Equations in C2

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 126
Author(s):  
Hong Li ◽  
Hongyan Xu
Keyword(s):  
Positive Integer ◽  
Finite Order ◽  
Difference Equations ◽  
Functional Equations ◽  
Growth Order ◽  
Entire Solutions ◽  
Partial Differential ◽  
Integer Order ◽  
Significant Difference ◽  
Quadratic Trinomial

This article is to investigate the existence of entire solutions of several quadratic trinomial difference equations f(z+c)2+2αf(z)f(z+c)+f(z)2=eg(z), and the partial differential difference equations f(z+c)2+2αf(z+c)∂f(z)∂z1+∂f(z)∂z12=eg(z),f(z+c)2+2αf(z+c)∂f(z)∂z1+∂f(z)∂z2+∂f(z)∂z1+∂f(z)∂z22=eg(z). We establish some theorems about the forms of the finite order transcendental entire solutions of these functional equations. We also list a series of examples to explain the existence of the finite order transcendental entire solutions of such equations. Meantime, some examples show that there exists a very significant difference with the previous literature on the growth order of the finite order transcendental entire solutions. Our results show that some functional equations can admit the transcendental entire solutions with any positive integer order. These results make a few improvements of the previous theorems given by Xu and Cao, Liu and Yang.

On the oscillation of third order nonlinear difference equations

2009 ◽  
Vol 32 (1) ◽  
pp. 189-203 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Said R. Grace ◽  
Patricia J. Y. Wong
Keyword(s):  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Third Order

scholarly journals Nonlinear Difference Equations and Gauss-Seidel Type Iterative Methods

1966 ◽  
Vol 3 (3) ◽  
pp. 497-513 ◽  
Author(s):  
James M. Ortega ◽  
Maxine L. Rockoff
Keyword(s):  
Iterative Methods ◽  
Difference Equations ◽  
Nonlinear Difference Equations
Sign in / Sign up

Export Citation Format

Share Document