IJPAM: Volume 108, No. 1 (2016)

INTEGRAL OSCILLATION CRITERIA FOR THIRD-ORDER
DIFFERENTIAL EQUATIONS WITH DELAY ARGUMENT

Jozef Džurina1, Blanka Baculíková2, Irena Jadlovská3
1,2,3Department of Mathematics and Theoretical Informatics
Faculty of Electrical Engineering and Informatics
Technical University of Košice
Letná 9, 04200 Košice, SLOVAKIA


Abstract. In the present paper, some new criteria for property A and the oscillation of third order nonlinear delay differential equations of the type

\begin{equation*}
\left(a(t)\left[\left(b(t)y'(t)\right)'\right]^{\gamma}\right)'+p(t)f\left(y(\tau(t))\right)=0.
\end{equation*}
are established.

Received: February 10, 2016

AMS Subject Classification: 34C10, 34K11

Key Words and Phrases: third-order functional differential equations, property A, oscillation, delay argument, integral criteria

Download paper from here.




DOI: 10.12732/ijpam.v108i1.15 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 1
Pages: 169 - 183


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).