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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 15, Issue 1, Pages 47 - 62 (April 2004)

OSCILLATION OF SOLUTIONS OF NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERM
E. Thandapani (India), S. Pandian (India) and R. K. Balasubramaniam (India)

Abstract:
In this paper the authors establish sufficient conditions for the oscillation of all solutions and existence of nonoscillatory

In this paper the authors establish sufficient conditions for the oscillation of all solutions and existence of nonoscillatory solutions of the equation

where a and b are ratio of odd positive integers, and and are real sequences. Examples are provided to illustrate the results.

Keywords and phrases: oscillation, nonoscillation, neutral difference equation, nonlinear neutral term.

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