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

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0659.34075
Wei, Junjie
Oscillation of second order delay differential equation.
(English)
[J] Ann. Differ. Equations 4, No.4, 473-478 (1988). ISSN 1002-0942

We study the oscillatory behavior of the equation (1) $x''(t)+p(t)x(g(t))=0,$ where $p(t)\in C(R,[0,+\infty))$, g(t)$\in C(R,R)$, g(t)$\le t$ and g(t) is nondecreasing and $g(t)\to +\infty$ when $t\to +\infty$. We prove that each one of the following conditions (1) $\lim\sb{t\to +\infty}\inf \int\sp{t}\sb{g(t)}g(s)p(s)ds>1/e;$ (2) $\lim\sb{t\to +\infty}\sup \int\sp{t}\sb{g(t)}g(s)p(s)ds>1$ implies that every solution of (1) oscillates.
MSC 2000:
*34K99 Functional-differential equations

Cited in: Zbl 0738.34036

Highlights
Master Server