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On Asymptotic Behavior of Blow-Up Solutions to Higher-Order Differential Equations with General Nonlinearity Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Asymptotic Properties of Nonoscillatory Solutions of Third-Order Delay Difference Equations

Authors : Alina Gleska, Małgorzata Migda

Published in: Differential and Difference Equations with Applications

Publisher: Springer International Publishing

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Abstract

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.

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previous chapter Approximative Solutions to Autonomous Difference Equations of Neutral Type
next chapter On Copson’s Theorem and Its Generalizations
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Metadata
Title
Asymptotic Properties of Nonoscillatory Solutions of Third-Order Delay Difference Equations
Authors
Alina Gleska
Małgorzata Migda
Copyright Year
2018
Book
Differential and Difference Equations with Applications

Print ISBN: 978-3-319-75646-2

Electronic ISBN: 978-3-319-75647-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-75647-9_27

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