Some oscillation problems for a second order linear delay differential equation

被引：17

作者：

Berezansky, L ^{[1
]}

Braverman, E

机构：

[1] Ben Gurion Univ Negev, Dept Math & Comp Sci, IL-84105 Beer Sheva, Israel

[2] Technion Israel Inst Technol, Dept Comp Sci, IL-32000 Haifa, Israel

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 220卷 / 02期

关键词：

D O I：

10.1006/jmaa.1997.5879

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the delay differential equation x(t) + (k+1)Sigma(M) a(k)(t)x(g(k)(t)) = 0, g(k)(t)less than or equal to t, a connection between the following properties is established: non-oscillation of the differential equation and the corresponding differential inequality, positiveness of the fundamental function, and the existence of a nonnegative solution of a generalized Riccati inequality. Explicit conditions for non-oscillation and oscillation and comparison theorems are presented. (C) 1998 Academic Press.

引用

页码：719 / 740

页数：22

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