Extensions of Ladas' oscillation theorem to polytopic difference equations

We consider the difference equation where the coefficients b i are functions of the parameter vector p belonging to a convex polytope P in the parameter space. The purpose of this paper is to present general conditions for oscillation of all solutions of the difference equation for each p in P, whic...

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Bibliographic Details
Published in:Journal of difference equations and applications 1998-01, Vol.3 (5-6), p.389-399
Main Author: Šiljak, D.D.
Format: Article
Language:English
Subjects:
Convex polytopes
Interval polynomials
Modified Routh array
Oscillatory solutions
Polynomials
Positivity
Uncertain parameters
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Summary:We consider the difference equation where the coefficients b i are functions of the parameter vector p belonging to a convex polytope P in the parameter space. The purpose of this paper is to present general conditions for oscillation of all solutions of the difference equation for each p in P, which involve only the vertices of P. The oscillation property is established using Ladas theorem and testing positivity of vertex polynomials via the Modified Routh Array
ISSN:1023-6198
1563-5120
DOI:10.1080/10236199708808116