广义Lienard方程边值问题

By coincidence degree,the existence of solution to the boundary value problem of a generalized Liénard equation a(t)x＂+F(x,x′)x′+g(x)=e(t),x(0)=x(2π),x′(0)=x′(2π)is proved,where a∈C1[0,2π],a(t)>0(0≤t≤2π),a(0)=a(2π),F(x,y)=f(x)+α| y|β,α>0,β>0 are all constants,f∈C(R,R),e∈C[0,2π]. An example is given as an application.     

A NONOSCILLATION RESULT FOR DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES

ＡＮＯＮＯＳＣＩＬＬＡＴＩＯＮＲＥＳＵＬＴＦＯＲＤＥＬＡＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＩＭＰＵＬＳＥＳ￥ＳｈｅｎＪｉａｎｈｕａ（申建华）＆ＹｕＪｉａｎｓｈｅ（庚建设）（ＨｕｎａｎＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔｒａｃｔ：Ｓｕｆｆｉ...     

奇数阶中立型差分方程的线性化振动性定理

本文得到了奇数阶中立型差分方程的一个线性化振动性定理,是Ｇｙ氹ｒｉ和Ｌａｄａｓ在文［２］中所提公开问题的一个离散结果     

具有正负系数的时滞微分方程解的振动性与渐近性

考虑具正负系数的时滞微分方程 x'(t)+p(t)x(t-)-q(t)x(t-r)=0,(1)其中p,q∈C([t_0,∞),R~+),τ,r∈R~+=[0,∞).我们获得了(1)的所有解振动的充分条件.也研究了(1)的所有非振动解的渐近性.     

SHARP CONDITIONS FOR THE UNIFORM STABILITY OF NONAUTONOMOUS HUTCHINSON''''S EQUATION

In this paper we obtain new criteria for the positive equilibrium K of thenonautonomous Hutchinson's equationN'(t) = r(t)N(t)[1-[N(t-τ)]/K], t≥0,to be uniformly stable. Examples illustrating the significance of the results arealso given.     

约化波动方程的振荡性

本文给出了约化波动方程一切球对称解振荡的充分条件,本文的条件与[2]的条件互为独立,而且研究的方法也不同。     

DECAYING SOLUTIONS OF DIFFERENCEEQUATIONS WITH CONTINUOUS ARGUMENTS

1IntroductionItiswellknownthatdifferenceequationisanimportantmathematicaltoolinthestudyofscienceandtechnology11,2].Recently,theoscillationandstabilityofdifferenceequationsdefinedonasubsetofintegershavebeenextensivelyinvestigatedbymanyauthors,seeforexample…     

SHARP CONDITIONS FOR THE UNIFORM STABILITY OF NONAUTONOMOUS HUTCHINSON＇S EQUATION

In this paper we obtain new criteria for the positive equilibrium K of the nonautonomous Hutchinson‘s equation N‘(t) =r(t)N(t)[1-N(t-r)/k],t≥0 to be uniformly stable. Examples illustrating the significance of the results are also given.