高速机构中的泛函微分方程研究

应用科学学报 ›› 1993, Vol. 11 ›› Issue (3): 235-240.

高速机构中的泛函微分方程研究

张昌波¹, 俞元洪²

1. 合肥工业大学;
2. 中国科学院应用数学研究所

收稿日期:1991-06-24 修回日期:1992-01-23 出版日期:1993-09-30 发布日期:1993-09-30

THE STUDY ON FUNCTIONAL DIFFERENTIAL EQUATIONS IN HIGH SPEED MECHANISMS

ZHANG OHANGBO¹, YU YUANHONG²

1. Hefei Polytechnic University;
2. Institute of Applied Mathematics, Acadsmia Sinioa

Received:1991-06-24 Revised:1992-01-23 Online:1993-09-30 Published:1993-09-30

摘要/Abstract

摘要： 考虑在高速机构中有着广泛应用的二阶泛函微分方程
(r(t)x'(t))'+a(t)x^a(t-τ(t))=f(t).(A)
其中0 < a < 1,是两个奇数之比.文中给出了保证方程(A)的一切振动解渐近趋于零的若干充分条件.

关键词: 高速机构, 振动解, 泛函微分方程

Abstract: In this paper we consider the functional differential equations of second order
(r(t)x'(t))'+a(t)x^a(t-τ(t))=f(t) (A)
where 0 < α < 1 and α is a ratio of odd integers. The equations have extensive applications to high speed mechanisms. Several sufficient conditions have been found to ensure that all oscillatory solutions of (A) approach zero asymptotically.

Key words: high speed mechanism, functional differential equations, oscillation solutions

张昌波, 俞元洪. 高速机构中的泛函微分方程研究[J]. 应用科学学报, 1993, 11(3): 235-240.

ZHANG OHANGBO, YU YUANHONG. THE STUDY ON FUNCTIONAL DIFFERENTIAL EQUATIONS IN HIGH SPEED MECHANISMS[J]. Journal of Applied Sciences, 1993, 11(3): 235-240.