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.
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页码：813 / 817
页数：5
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