Oscillation properties for a scalar linear difference equation of mixed type

Leonid Berezansky; Sandra Pinelas

doi:10.21136/MB.2016.14

Oscillation properties for a scalar linear difference equation of mixed type

Leonid Berezansky, Sandra Pinelas

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type (formula presented) where Δx(n) = x(n + 1) − x(n) is the difference operator and {a_k(n)} are sequences of real numbers for k = −p, …, q, and p > 0, q ≥ 0. We obtain sufficient conditions for the existence of oscillatory and nonoscillatory solutions. Some asymptotic properties are introduced.

Original language	English
Pages (from-to)	169-182
Number of pages	14
Journal	Mathematica Bohemica
Volume	141
Issue number	2
DOIs	https://doi.org/10.21136/MB.2016.14
State	Published - 1 Jan 2016

Keywords

Asymptotic behavior
Difference equation
Mixed type
Oscillation

ASJC Scopus subject areas

General Mathematics

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10.21136/MB.2016.14

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AB - The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type (formula presented) where Δx(n) = x(n + 1) − x(n) is the difference operator and {ak(n)} are sequences of real numbers for k = −p, …, q, and p > 0, q ≥ 0. We obtain sufficient conditions for the existence of oscillatory and nonoscillatory solutions. Some asymptotic properties are introduced.

KW - Asymptotic behavior

KW - Difference equation

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KW - Oscillation

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Oscillation properties for a scalar linear difference equation of mixed type

Abstract

Keywords

ASJC Scopus subject areas

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