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Title: Oscillation properties for a scalar linear difference equation of mixed type (English)
Author: Berezansky, Leonid
Author: Pinelas, Sandra
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 141
Issue: 2
Year: 2016
Pages: 169-182
Summary lang: English
Category: math
Summary: The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type $$ \Delta x(n)+\sum _{k=-p}^{q}a_{k}(n)x(n+k)=0,\quad n>n_{0}, $$ where $\Delta x(n)=x(n+1)-x(n)$ is the difference operator and $\{a_{k}(n)\}$ are sequences of real numbers for $k=-p,\ldots ,q$, and $p>0$, $q\geq 0$. We obtain sufficient conditions for the existence of oscillatory and nonoscillatory solutions. Some asymptotic properties are introduced. (English)
Keyword: oscillation
Keyword: difference equation
Keyword: mixed type
Keyword: asymptotic behavior
MSC: 39A21
MSC: 39A99
idZBL: Zbl 06587861
idMR: MR3499783
DOI: 10.21136/MB.2016.14
Date available: 2016-05-19T09:04:52Z
Last updated: 2020-07-01
Stable URL:
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