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Oscillation Theorems for Certain Second Order Nonlinear Difference Equations

✍ Scribed by Patricia J.Y. Wong; Ravi P. Agarwal

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
178 KB
Volume
204
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation

Ε½ .

n n n q 1 n q 1 n where 0 -s prq with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are also included.

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1 Ž Ž .. Ž . where ) 0 is any quotient of odd integers, a g C R, 0, ϱ , q g C R, R , Ž . Ž . Ž . fgC R, R , xf x ) 0, f Ј x G 0 for x / 0. Some new sufficient conditions for Ž . the oscillation of all solutions of ) are obtained. Several examples that dwell upon the importance of our results are als