scholarly journals Uniformly constructing exact discrete soliton solutions and periodic solutions to differential–difference equations

2009 ◽  
Vol 58 (11-12) ◽  
pp. 2351-2354 ◽  
Author(s):  
Guo-cheng Wu ◽  
Tie-cheng Xia
Keyword(s):  
Periodic Solutions ◽  
Difference Equations ◽  
Soliton Solutions ◽  
Discrete Soliton

Exact discrete soliton solutions of the nonlinear differential-difference equations

2007 ◽  
Vol 34 (3) ◽  
pp. 940-946 ◽  
Author(s):  
Xiao-Fei Wu ◽  
Hong-Liang Ge ◽  
Zheng-Yi Ma
Keyword(s):  
Difference Equations ◽  
Soliton Solutions ◽  
Discrete Soliton

scholarly journals Two periodic solutions of neutral difference equations modelling physiological processes

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Jun Wu ◽  
Yicheng Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Difference Equations ◽  
Neutral Difference Equations ◽  
First Order ◽  
Analysis Techniques ◽  
Physiological Processes

We establish existence, multiplicity, and nonexistence of periodic solutions for a class of first-order neutral difference equations modelling physiological processes and conditions. Our approach is based on a fixed point theorem in cones as well as some analysis techniques.

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