scholarly journals Comparison and linearized oscillation theorems for a nonlinear partial difference equation

2001 ◽  
Vol 42 (4) ◽  
pp. 552-560 ◽  
Author(s):  
B. G. Zhang ◽  
Jian-She Yu
Keyword(s):  
Difference Equation ◽  
Comparison Theorem ◽  
Continuous Dependence ◽  
Partial Difference Equation ◽  
Oscillation Theorem ◽  
Partial Difference ◽  
Constant Coefficients ◽  
Oscillation Theorems

AbstractConnections between a linear partial difference equation with constant coefficients and a nonlinear partial difference equation are established by means of a comparison theorem and a continuous dependence of parameters theorem. A linearized oscillation theorem is also established as an application.

scholarly journals AN OSCILLATiON THEOREM FOR A NEUTRAL DIFFERENCE EQUATION WITH POSITIVE AND NEGATIVE COEFFICIENTS

1999 ◽  
Vol 30 (1) ◽  
pp. 39-46
Author(s):  
WAN-TONG LI ◽  
SUI-SUN CHENG
Keyword(s):  
Difference Equation ◽  
Oscillation Criterion ◽  
Oscillation Theorem ◽  
Neutral Difference Equation ◽  
Positive And Negative Coefficients ◽  
Oscillation Theorems

An oscillation criterion is derived which supplements the oscillation theorems dervied in [1].

scholarly journals Partial difference equation method for lattice path problems

1999 ◽  
Vol 3 (2-4) ◽  
pp. 265-275 ◽  
Author(s):  
R. Brak ◽  
J. W. Essam ◽  
A. L. Owczarek
Keyword(s):  
Difference Equation ◽  
Lattice Path ◽  
Equation Method ◽  
Partial Difference Equation ◽  
Partial Difference
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