NEW ASPECTS FOR THE OSCILLATION OF FIRST-ORDER DIFFERENCE EQUATIONS WITH DEVIATING ARGUMENTS

Emad R. Attia; Bassant M. El-Matary

doi:10.7494/OpMath.2022.42.3.393

NEW ASPECTS FOR THE OSCILLATION OF FIRST-ORDER DIFFERENCE EQUATIONS WITH DEVIATING ARGUMENTS

Emad R. Attia
, Bassant M. El-Matary

Mathematics

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

5 Scopus citations

Abstract

We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.

Original language	English
Pages (from-to)	393-413
Number of pages	21
Journal	Opuscula Mathematica
Volume	42
Issue number	3
DOIs	https://doi.org/10.7494/OpMath.2022.42.3.393
State	Published - 2022

Keywords

difference equations
non-monotone advanced arguments
oscillation

Access to Document

10.7494/OpMath.2022.42.3.393

Cite this

@article{85a4637c65494825ac0491806409bb20,

title = "NEW ASPECTS FOR THE OSCILLATION OF FIRST-ORDER DIFFERENCE EQUATIONS WITH DEVIATING ARGUMENTS",

abstract = "We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.",

keywords = "difference equations, non-monotone advanced arguments, oscillation",

author = "Attia, \{Emad R.\} and El-Matary, \{Bassant M.\}",

note = "Publisher Copyright: {\textcopyright} 2022 Authors.",

year = "2022",

doi = "10.7494/OpMath.2022.42.3.393",

language = "English",

volume = "42",

pages = "393--413",

journal = "Opuscula Mathematica",

issn = "1232-9274",

publisher = "Akademia Gorniczo-Hutnicza im. S. Staszica w Krakowie.",

number = "3",

}

TY - JOUR

T1 - NEW ASPECTS FOR THE OSCILLATION OF FIRST-ORDER DIFFERENCE EQUATIONS WITH DEVIATING ARGUMENTS

AU - Attia, Emad R.

AU - El-Matary, Bassant M.

PY - 2022

Y1 - 2022

N2 - We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.

AB - We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.

KW - difference equations

KW - non-monotone advanced arguments

KW - oscillation

UR - https://www.scopus.com/pages/publications/85131437213

U2 - 10.7494/OpMath.2022.42.3.393

DO - 10.7494/OpMath.2022.42.3.393

M3 - Article

AN - SCOPUS:85131437213

SN - 1232-9274

VL - 42

SP - 393

EP - 413

JO - Opuscula Mathematica

JF - Opuscula Mathematica

IS - 3

ER -

NEW ASPECTS FOR THE OSCILLATION OF FIRST-ORDER DIFFERENCE EQUATIONS WITH DEVIATING ARGUMENTS

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this