<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We present new criteria guaranteeing that all nonoscillatory solutions of the third-order functional differential equation</p><p>tend to zero. Our results are based on the suitable comparison theorems. We consider both delay and advanced case of studied equation. The results obtained essentially improve and complement earlier ones.</p></abstract>

We present new criteria guaranteeing that all nonoscillatory solutions of the third-order functional differential equationtend to zero. Our results are based on the suitable comparison theorems. We consider both delay and advanced case of studied equation. The results obtained essentially improve and complement earlier ones.

Asymptotic Properties of Third-Order Nonlinear Differential Equations

Department of Mathematics, Faculty of Electrical Engineering and Informatics Technical University of Košice, Letná 9, SK–042-00 Košice, SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"Asymptotic Properties of Third-Order Nonlinear Differential Equations"}

We present new criteria guaranteeing that all nonoscillatory solutions of the third-order functional differential equationtend to zero. Our results are based...

Asymptotic Properties of Third-Order Nonlinear Differential Equations

Online veröffentlicht: 04. Juli 2013

Seitenbereich: 19 - 29

DOI: https://doi.org/10.2478/tmmp-2013-0002

This content is open access.