Necessary and sufficient conditions for robust oscillation

Consider the n th-order difference equation and the differential equation where In this paper we establish the concept that (1) and (2) are robustly oscillatory (i.e. (1) or (2) is oscillatory for all Necessary and sufficient conditions are given by the oscillation of special extreme point equations...

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Bibliographic Details
Published in:International journal of systems science 1996-04, Vol.27 (4), p.367-371
Main Author: XU, DAO YI
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
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Summary:Consider the n th-order difference equation and the differential equation where In this paper we establish the concept that (1) and (2) are robustly oscillatory (i.e. (1) or (2) is oscillatory for all Necessary and sufficient conditions are given by the oscillation of special extreme point equations. Moreover, we obtain explicit necessary and sufficient conditions for the oscillation of the extreme equations so that answers to two problems of Ladas are obtained.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207729608929226