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Non-Oscillation of solutions of second and third difference equation
by N. Parhi  

Vol. 5 No. 4 (2010) P.437~P.455

ABSTRACT

In this paper, sufficient conditions are obtained for non-oscillation of all solutions of a class of linear homogeneous second order difference equations. These results are used to get sufficient conditions for non-oscillation of all solutions of a class of linear homogeneous third order difference equations. An attempt is made to obtain necessary conditions for non-oscillation of solutions of second and third order difference equations. Many unsolved problems are stated.


KEYWORDS
Oscillation, non-oscillation, second order difference equations, third order difference equations, generalized zeros

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 39A10, 39A12

MILESTONES

Received: 2009-03-24
Revised : 2009-11-24
Accepted: 2009-11-24


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