具有相同广义反射函数的微分系统的等价性

利用广义反射函数给出了微分系统等价的定义,研究了线性微分系统的相互等价性及其与非线性微分系统的等价性.     

微分系统的反射函数与周期解

本文主要介绍了微分系统反射函数与周期解理论的产生与发展动态．论述了一些基本问题，并提出了一些可供研究的新课题。     

微分系统的反射函数与周期解

This article deals with the reflective function of the mth-order nonlinear differential systems. The results are applied to discussing the stability property of periodic solutions of these systems.     

非线性微分系统的反射函数与周期解(英文)

1 IntroductionAs is well known, in the objective world the motion of many objects canoften be described by differentia1 systemThe study of the regularity of this motion needs only to discuss the pro-perty of the solutions of system (1). In ear1y eighties Russian mathematicianV.I.Mironenko was the first to establish the theory of reflective function (RF).Since then a new method has been estab1ished.Assume that X(t, x) is a continuously differentiable function on R x R",and that there exists…     

中立型时滞双曲微分方程解的振动性

研究中立型时滞微分方程     

非线性微分系统解的有界性和周期解的存在性

本文运用了比较新的手法,证明了非线性微分系统(dx)/(dt)=1/(a(x))[c(y)-b(x)];(dy)/(dt)=-a(x)[h(x)-e(t)](1)(其中a(x),b(x),h(x),c(y),e(t)为连续可微函数,x,y∈R,t∈[0,+∞),且a(x)>0)解的有界性及周期解的存在性,并应用该结论讨论了强迫振动方程:x+(f(x)+g(x)x)x+h(x)=e(t)(2)(其中f(x),g(x)为连续可微函数,x∈R,h(x),e(t)同上)解的有界性及周期解的存在性.