数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (4): 445-452.

• 论文 • 上一篇    下一篇

OSCILLATORY FUNCTIONS AND SECOND ORDER LINEAR EQUATIONS

柳训明, 陈庆益   

  1. Huazhong University of Science and Technology
  • 收稿日期:1985-03-22 出版日期:1986-12-25 发布日期:1986-12-25

OSCILLATORY FUNCTIONS AND SECOND ORDER LINEAR EQUATIONS

Liu Xunming, Chen Qingyi   

  1. Huazhong University of Science and Technology
  • Received:1985-03-22 Online:1986-12-25 Published:1986-12-25

摘要: We are concerned at first with a class of oscillatory functions, which are not necessarily solutions of differential equations. Using some properties of these functions, we discuss forced oscillations and relative oscillations for the equation y"(x)+p(x)y(x)=f(x). A correlation with respect to oscillations between p and f is disclosed.

Abstract: We are concerned at first with a class of oscillatory functions, which are not necessarily solutions of differential equations. Using some properties of these functions, we discuss forced oscillations and relative oscillations for the equation y"(x)+p(x)y(x)=f(x). A correlation with respect to oscillations between p and f is disclosed.