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Bounded oscillation criteria for second-order nonlinear delay difference equations of unstable type

โœ Scribed by L. Debnath; J.C. Jiang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
302 KB
Volume
56
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

This paper deals with some sufficient conditions for the bounded oscillation criteria for the second-order nonlinear delay difference equation

In addition, we generalize and improve the existing results, and then give some examples of applications.

๐Ÿ“œ SIMILAR VOLUMES

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F~t, we prove that the following even-order neutral superlinear delay difference equation with unstable type, -q ..... ,\* > no, (\*) has always unbounded and nonoscillatory solution. Then, some bounded oscillatory criteria for equation (,) are obtained. (

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Several oscillation criteria are established for the second-order damped nonlinear difference equation where a > 0 is any quotient of odd integers, {pโ€ข} and {qn} are real sequences, and f E C(R, R) such that xf(x) > 0 for x # 0. Several examples which dwell upon the importance of our results are al