OSCILLATORY PROPERTIES OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

被引：6
|
作者：
Dosla, Z. [1 ]
Partsvania, N. [2 ]
机构：
[1] Masaryk Univ, Dept Math & Stat, CS-61137 Brno, Czech Republic
[2] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 02期
关键词：
Proper solution; oscillatory solution; non-oscillatory solution; oscillation criteria; non-oscillation criteria; THEOREMS;
D O I：
10.1216/RMJ-2010-40-2-445
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions for oscillation and non-oscillation of the differential equation u '' + f(t, u, u') = 0 are given, where f : [a, + infinity) x R-2 -> R is a continuous function such that f(t, x, y)x >= 0 for t >= a, x and y is an element of R. The results obtained extend recent results of [21-23] stated for the equation u '' + h(t)g(u) = 0, where g(x)x > 0 for x not equal 0. Some examples illustrating the sharpness of oscillation criteria are also given.
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页码：445 / 470
页数：26
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