OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR SELF-ADJOINT DIFFERENTIAL EQUATIONS

被引：0

作者：

Hesaaraki, M. ^{[1
]}

Moradifam, A. ^{[2
]}

机构：

[1] Sharif Univ Technol, Dept Math, POB 11365-9415, Tehran 11365, Iran

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2006年 / 13卷 / 04期

关键词：

Oscillation; nonlinear self-adjoint differential equations; Lienard-type systems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our concern is to solve the oscillation problem for the nonlinear self-adjoint equation (a(t)x')' + b(t)g(x) = 0, where g(x) satisfies the Signum condition xg(x) > 0 if x not equal 0, but is not imposed such monotonicity as superlinear or sublinear. The problem has not been solved for thecritical cases: [GRAPHICS] which are more difficult, by now. We concentrate our attention on this point and give some answers. Sufficient conditions are given for all nontrivial solutions to be oscillatory.

引用

页码：373 / 386

页数：14

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