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.
Recommended Citation
S. R. Grace et al., "On Kneser Solutions of Third-order Delay Dynamic Equations," Carpathian Journal of Mathematics, vol. 26, no. 2, pp. 184 - 192, North University of Baia Mare, Nov 2010.
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