Oscillatory and asymptotic properties of third-order quasilinear delay differential equations

Oscillatory and asymptotic properties of third-order quasilinear delay differential equations

Abstract In this paper, we consider a class of quasilinear third-order differential equations with a delayed argument. We establish new sufficient conditions for all solutions of such equations to be oscillatory or almost oscillatory. Those criteria improve, simplify and complement a number of exist...

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Bibliographic Details
Main Authors: G. E. Chatzarakis, J. Džurina, I. Jadlovská
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of Inequalities and Applications
Subjects:
Quasilinear differential equation
Delay
Third-order
Oscillation
Online Access:http://link.springer.com/article/10.1186/s13660-019-1967-0
Description
Summary:Abstract In this paper, we consider a class of quasilinear third-order differential equations with a delayed argument. We establish new sufficient conditions for all solutions of such equations to be oscillatory or almost oscillatory. Those criteria improve, simplify and complement a number of existing results. The strength of the criteria obtained is tested on Euler type equations.
ISSN:1029-242X

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