Asymptotic properties of nonoscillatory solutions of third-order delay difference equations

Alina Gleska; Małgorzata Migda

doi:10.1007/978-3-319-75647-9_27

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Title

Asymptotic properties of nonoscillatory solutions of third-order delay difference equations

Authors

Alina Gleska (WE) ^{[ 1 ][ P ]}
Małgorzata Migda (WE) ^{[ 1 ][ 7.4 ][ P ]}

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[7.4] Mathematics

Year of publication

2018

Chapter type

chapter in monograph / paper

Publication language

english

Keywords

EN

third-order difference equation
asymptotic behavior
non-oscillation
oscillation

Abstract

EN We study a third-order delay trinomial difference equation. We transform this equation to a binomial third-order difference equation with quasidifferences. Using comparison theorems with a certain first order delay difference equation we establish results on asymptotic properties of nonoscillatory solutions of the studied equation. We give an easily verifiable criterium which ensures that all nonoscillatory solutions tend to zero.

Pages (from - to)

327 - 337

DOI

10.1007/978-3-319-75647-9_27

URL

https://link.springer.com/chapter/10.1007/978-3-319-75647-9_27

Book

Differential and Difference Equations with Applications ICDDEA, Amadora, Portugal, June 2017

Presented on

International Conference on Differential & Difference Equations and Applications (ICDDEA 2017), 5-9.06.2017, Amadora, Portugal

Ministry points / chapter

20