Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

# Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1051.34052
Saker, S.H.
Oscillation of second order neutral delay differential equations of Emden-Fowler type.
(English)
[J] Acta Math. Hung. 100, No. 1-2, 37-62 (2003). ISSN 0236-5294; ISSN 1588-2632/e

The author presents some oscillation criteria for the second-order nonlinear neutral delay differential equation $$[y(t)-py(t-\tau)]''+q(t)y^{\lambda}(g(t))\, {\text{sgn}}\, y(g(t))=0,\quad t\geq t_0,$$ with $q,g\in C([t_0,\infty), \bbfR^+)$, $\tau\geq 0$, $g(t)\leq t$, $g'(t)>0$, $\lim_{t\to\infty}g(t)=\infty$, $0\leq p<1$ and $\lambda>0$. His results present some extended Kamenev and Philos-type theorems ensuring that every solution of this equation oscillates, and solve an open problem posed by {\it James S. W. Wong} [J. Math. Anal. Appl. 252, 342--352 (2000; Zbl 0976.34057)] to find some oscillation criteria for this neutral differential equation.
[Zuzana Došlá (Brno)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations

Keywords: oscillation; second-order nonlinear neutral delay differential equations

Citations: Zbl 0976.34057

Login Username: Password:

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster