Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0949.34056
Yan, Jurang
Oscillations of higher order neutral differential equations of mixed type. (English)
[J] Isr. J. Math. 115, 125-136 (2000). ISSN 0021-2172; ISSN 1565-8511/e

Oscillatory properties of the solutions to the neutral higher-order functional-differential equation of mixed type $$ \frac{d^n}{dt^n} (x(t)+cx(t-h)+Cx(t+H)) +qx(t-g) +Qx(t+G)=0 $$ are considered. Here, $c$, $C$, $g$, $G$, $h$ and $H$ are real constants, and $q$ and $Q$ are nonnegative real constants. Theorems are proved that give sufficient conditions for all solutions to be oscillatory. They improve results by {\it S.~R.~Grace} [Appl. Math. Comput. 68, No. 1, 1-13 (1995; Zbl 0829.34058)]. The proof is based on the study of the corresponding characteristic equation.
[Sergey Yanchuk (Ky{\" i}v)]

MSC 2000:: *34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations

Keywords: higher-order neutral differential equations; oscillatory solutions; characteristic equation

Citations: Zbl 0829.34058

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