scholarly journals Oscillation and nonoscillation of neutral difference equations with positive and negative coefficients

2000 ◽  
Vol 39 (7-8) ◽  
pp. 169-181 ◽  
Author(s):  
X.H. Tang ◽  
J.S. Yu ◽  
D.H. Peng
Keyword(s):  
Difference Equations ◽  
Neutral Difference Equations ◽  
Positive And Negative Coefficients ◽  
Oscillation And Nonoscillation

Oscillation of neutral delay difference equations of second order with positive and negative coefficients

2009 ◽  
Vol 59 (4) ◽  
Author(s):  
Seshadev Padhi ◽  
Chuanxi Qian
Keyword(s):  
Difference Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Neutral Delay ◽  
Neutral Difference Equations ◽  
Positive And Negative Coefficients ◽  
Delay Difference Equations ◽  
Delay Difference

AbstractThis paper is concerned with a class of neutral difference equations of second order with positive and negative coefficients of the forms $$ \Delta ^2 (x_n \pm c_n x_{n - \tau } ) + p_n x_{n - \delta } - q_n x_{n - \sigma } = 0 $$ where τ, δ and σ are nonnegative integers and {p n}, {q n} and {c n} are nonnegative real sequences. Sufficient conditions for oscillation of the equations are obtained.

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