On Kneser Solutions of Third-order Delay Dynamic Equations

Abstract

Some new criteria for the asymptotic and oscillatory behavior of third-order linear delay dynamic equations on time scales are established. Several results are presented that offer conditions guaranteeing that every nonoscillatory solution of the equation is a Kneser solution. Further criteria are proved that ensure that all bounded solutions of the equation are oscillatory. Many of our results are new for corresponding third-order linear delay differential equations and third-order linear delay difference equations.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Boundedness; Dynamic equation; Kneser solution; Oscillation; Third-order equation

International Standard Serial Number (ISSN)

1843-4401; 1584-2851

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 North University of Baia Mare, All rights reserved.

Publication Date

17 Nov 2010

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