AN OSCILLATION CRITERION FOR A FORCED 2ND-ORDER LINEAR-DIFFERENTIAL EQUATION

被引：98

作者：

ELSAYED, MA

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 03期

关键词：

OSCILLATION THEORY; FORCED DIFFERENTIAL EQUATIONS;

D O I：

10.2307/2160125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to an oscillation theorem for the second-order forced linear differential equation of the form (p(t)x')' + q(t)x = g(t) . The sign of the coefficient q is not definite, and the function g is not necessarily the second derivative of an oscillatory function. The question raised by J. Wong in Second order nonlinear forced oscillations (SIAM J. Math. Anal. 19 (1988), 667-675) is answered. A region of oscillation of Mathieu's equation is specified.

引用

页码：813 / 817

页数：5

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[2]

HOWARD HC, 1977, ANN MAT PUR APPL, P163

[3] MAINTENANCE OF OSCILLATIONS UNDER EFFECT OF A PERIODIC FORCING TERM [J].