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Publication detail
TOMÁŠEK, P.
Original Title
Stability and Instability Regions for a Three Term Difference Equation
Type
conference paper
Language
English
Original Abstract
The paper discusses stability and instability properties of difference equation y(n+1)+ay(n-l+1)+by(n-l)=0 with real parameters a, b. Beside known results about its asymptotic stability conditions a deeper analysis of instability properties is introduced. An instability degree of difference equation’s solution is introduced in analogy with theory of differential equations. Instability regions of a fixed degree are introduced and described in the paper. It is shown that dislocation of instability regions of various degrees obeys some rules and qualitatively depends on parity of difference equation’s order.
Keywords
Instability degree; linear difference equation; stability
Authors
Released
11. 2. 2020
Publisher
Springer
Location
Cham
ISBN
978-3-030-35501-2
Book
Difference Equations and Discrete Dynamical Systems with Applications. ICDEA 2018.
Edition
Springer Proceedings in Mathematics & Statistics
Edition number
312
2194-1009
Periodical
Year of study
State
Federal Republic of Germany
Pages from
355
Pages to
364
Pages count
10
BibTex
@inproceedings{BUT162607, author="Petr {Tomášek}", title="Stability and Instability Regions for a Three Term Difference Equation", booktitle="Difference Equations and Discrete Dynamical Systems with Applications. ICDEA 2018.", year="2020", series="Springer Proceedings in Mathematics & Statistics", journal="Springer Proceedings in Mathematics & Statistics", volume="312", number="312", pages="355--364", publisher="Springer", address="Cham", doi="10.1007/978-3-030-35502-9\{_}16", isbn="978-3-030-35501-2", issn="2194-1009" }