中文

Journal of Applied Sciences ›› 1993, Vol. 11 ›› Issue (3): 235-240.

• Articles • Previous Articles     Next Articles

THE STUDY ON FUNCTIONAL DIFFERENTIAL EQUATIONS IN HIGH SPEED MECHANISMS

ZHANG OHANGBO1, YU YUANHONG2   

  1. 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

PDF

73

Abstract: In this paper we consider the functional differential equations of second order
(r(t)x'(t))'+a(t)xa(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