Forced Periodic Solutions of a Stable Non-Linear Differential-Difference Equation

1955 ◽  
Vol 61 (2) ◽  
pp. 381 ◽  
Author(s):  
K. L. Cooke
Keyword(s):  
Difference Equation ◽  
Periodic Solutions ◽  
Non Linear ◽  
Differential Difference Equation ◽  
Linear Differential

scholarly journals A transformation to linearity of some non-linear differential-difference equations

1982 ◽  
Vol 23 (4) ◽  
pp. 416-419
Author(s):  
A. J. Bracken
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Non Linear ◽  
Differential Difference Equation ◽  
Linear Differential

AbstractThe problem of solving a differential-difference equation with quadratic non-linearities of a certain type is reduced to the problem of solving an associated linear differential-difference equation.

scholarly journals GDTM-Padé technique for the non-linear differential-difference equation

2013 ◽  
Vol 17 (5) ◽  
pp. 1305-1310
Author(s):  
Jun-Feng Lu
Keyword(s):  
Difference Equation ◽  
Solitary Wave ◽  
Difference Equations ◽  
Wave Solution ◽  
Solitary Wave Solution ◽  
Approximate Solutions ◽  
Lattice Equation ◽  
Non Linear ◽  
Differential Difference Equation ◽  
Linear Differential

This paper focuses on applying the GDTM-Pad? technique to solve the non-linear differential-difference equation. The bell-shaped solitary wave solution of Belov-Chaltikian lattice equation is considered. Comparison between the approximate solutions and the exact ones shows that this technique is an efficient and attractive method for solving the differential-difference equations.

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