On the oscillation of functional differential equations

被引：3
|
作者：
Grace, SR [1 ]
Hamedani, GG
机构：
[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12211, Egypt
[2] Marquette Univ, Dept Math Stat & Comp Sci, Milwaukee, WI 53201 USA
来源：
MATHEMATISCHE NACHRICHTEN | 1999年 / 203卷
基金：
欧盟地平线“2020”;
关键词：
oscillatory solutions; oscillatory behavior; oscillatory of bounded solutions;
D O I：
10.1002/mana.1999.3212030107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present certain criteria for the oscillation of functional differential equations of the form x((n))(t) + p(t) x((n-1))(t) + delta H(t, x(g(t))) = 0, where delta = +/- 1, p, g : (t(0), infinity) --> IR, H : (t(0), infinity) x IR --> IR are continuous, p(t) > 0 for t > t(0) and limt(t -->infinity) g(t) = infinity. We like to point out that condition of the form [GRAPHICS] will not be employed.
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页码：111 / 123
页数：13
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