Oscillation results via comparison theorems for fourth-order delay three-terms difference equations

Małgorzata Migda; Ewa Schmeidel; Małgorzata Zdanowicz; Janusz Migda

doi:10.1007/s10998-022-00479-1

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Title

Oscillation results via comparison theorems for fourth-order delay three-terms difference equations

Authors

Małgorzata Migda (WARiE) ^{[ 1 ][ 7.4 ][ P ]}
Ewa Schmeidel
Małgorzata Zdanowicz ^{[ 2 ]}
Janusz Migda ^{[ 3 ]}

^{[ 1 ]} Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | ^{[ 2 ]} Institute of Computer Science, University of Bialystok, Ciolkowskiego 1M, 15-245 Bialystok | ^{[ 3 ]} Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Pozna ́n, Poland | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[7.4] Mathematics

Year of publication

2023

Published in

Periodica Mathematica Hungarica

Journal year: 2023 | Journal volume: vol. 86 | Journal number: iss. 2

Article type

scientific article

Publication language

english

Keywords

EN

fourth-order difference equation
delay argument
oscillation
nonoscillation
quasidifferences

Abstract

EN In this paper we establish sufficient conditions for the oscillation of all solutions of equation

Δ⁴ x(n) + p(n)Δx(n + 1) + q(n)x(n − τ) = 0
via comparison with some first order delay difference equations whose oscillatory characters are known. The presented criterion is easily verifiable. Examples are also given to illustrate the main result.

Pages (from - to)

395 - 412

DOI

10.1007/s10998-022-00479-1

URL

https://link.springer.com/article/10.1007/s10998-022-00479-1

License type

CC BY (attribution alone)

Open Access Mode

czasopismo hybrydowe

Open Access Text Version

final published version