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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]