变系数中立型方程的振动性

数学季刊 ›› 1997, Vol. 12 ›› Issue (1): 38-42.

变系数中立型方程的振动性

Department of Mathematics,Xiangtan University,Hunan,411105

收稿日期:1995-05-04 出版日期:1997-03-30 发布日期:2024-12-11

Oscillation of Neutral Equations with Variable Coefficients

Department of Mathematics,Xiangtan University,Hunan,41110

Received:1995-05-04 Online:1997-03-30 Published:2024-12-11

摘要/Abstract

摘要： Consider the neutral equation with variable coefficients dt[x(t) - P(t)x(t - γ)] + Q(t)x(t -σ) =0 where P,Q∈C[[t₀,,∞),R+] and σ,∈R+. We obtain some new sufficient conditions for the oscillation of soutions of the.abave equation without the restriction:0<= P(t)<=1 or P(t)>= 1.

关键词: neutral equation;variable coefficient;oscillation ,

Abstract: Consider the neutral equation with variable coefficients dt[x(t) - P(t)x(t - γ)] + Q(t)x(t -σ) =0 where P,Q∈C[[t₀,,∞),R+] and σ,∈R+. We obtain some new sufficient conditions for the oscillation of soutions of the.abave equation without the restriction:0<= P(t)<=1 or P(t)>= 1.

Key words: neutral equation;variable coefficient;oscillation ,

中图分类号:

O241

周勇. 变系数中立型方程的振动性[J]. 数学季刊, 1997, 12(1): 38-42.

Zhou Yong. Oscillation of Neutral Equations with Variable Coefficients[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(1): 38-42.