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Oscillation of two-dimensional difference systems

✍ Scribed by J.R. Graef; E. Thandapani

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 428 KB
Volume: 38
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00246-1

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✦ Synopsis

and {bn}, n E N(no), are real sequences, and f, g : R --* R are continuous with uf(u) > 0 and ug(u) > 0 for u ~ 0. A solution ({xn},{yn}) of the system is oscillatory if both components are oscillatory. The authors obtain sufficient conditions for all solutions of the system to be oscillatory. Some of their results allow {an} to oscillate. Examples to illustrate the results are included. (~) 1999 Elsevier Science Ltd. All rights reserved.

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