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2010 / December Volume 5 No.4
Non-Oscillation of solutions of second and third difference equation
Published Date
2010 / December
Title
Non-Oscillation of solutions of second and third difference equation
Author
N. Parhi
Keyword
oscillation, non-oscillation, second order difference equations, third order difference equations, generalized zeros, Oscillation, non-oscillation, second order difference equations, third order difference equations, generalized zeros
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Pagination
437-455
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.
AMS Subject
Classification
39A10, 39A12
Received
2009-11-24
Accepted
2009-11-24
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