scholarly journals Note on oscillationa theorems for third order non-linear difference equations

2012 ◽  
Vol 43 (4) ◽  
Author(s):  
Mohammed Ali Jaffer I. ◽  
Selvaraj B.
2012 ◽  
Vol 43 (4) ◽  
pp. 491-498
Author(s):  
Mohammed Ali Jaffer I. ◽  
Selvaraj B.

In this paper some sufficient conditions for oscillation of all solutions of certain difference equations are obtained. Examples are given to illustrate the results.


In this paper, the authors obtained some new sufficient conditions for the oscillation of all solutions of the fourth order nonlinear difference equation of the form ( ) ( 1 ) 0 3  anxn  pnxn  qn f xn  n = 0,1,2, … ., where an, pn, qn positive sequences. The established results extend, unify and improve some of the results reported in the literature. Examples are provided to illustrate the main result.


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