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1)  piecewise smooth
分片光滑
1.
A new method is obtained for a special nondifferentiable problem——piecewise smooth optimi- zation.
探讨一种求解非光滑优化特殊问题——分片光滑问题的算法。
2.
Defines bordered manifold and concordantly oriented concepts of smooth or piecewise smooth bordered manifold, thus proof“general Stokes formula by n-demensional E-G formula.
进一步定义了 (广义n维 )有边流形及光滑或分片光滑有边流形与边界协调定向的概念 ,从而由n维奥—高公式推导出一般斯托克斯公式 。
3.
The paper aims to obtained a new method for a special nondifferentiable problem, Piecewise smooth optimization,and applys it to multiobjective programming to get a new minmax method.
本文旨在获得一种求解非光滑优化特殊问题——分片光滑问题的新算法,并将其应用于多目标规划,形成一种新的极小极大法。
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2)  piecewise smooth solution
分片光滑解
1.
In this paper, the author considers the discontinuous initial boundary value problem for the one-dimensional semilinear wave equation originated from semi-bounded string vibration, and proves the global existence theorem of piecewise smooth solutions to this problem by using the method of characteristic.
考虑来自半有界弦振动的一维半线性波动方程的间断初边值问题 ,利用特征线法证明了该问题的分片光滑解的全局存在性定理 。
3)  piecewise smooth data
分片光滑初值
4)  piecewise smooth system
分片光滑系统
1.
We studied the bifurcation properties of stationary points of a class of planar piecewise smooth system with 3 parameters using the theory of differential inclusions,presenting both sufficient and neccesary conditions of the existence of the stationary points in this class of planar piecewise smooth systems.
利用微分包含理论研究一类3参数平面分片光滑系统的平衡点分支性质,得到了此类系统中平衡点存在的充要条件。
2.
We studied the bifurcation of equilibria of a planar piecewise smooth system when the discontinuity and the equilibria interact on each other.
研究一类分片光滑系统中平衡点与间断性相互作用时产生的分支性质,并给出了平衡点的个数和相对于系统间断线的位置与系统参数的分支图。
3.
The stability of homoclinic cycles in planar piecewise smooth systems was studied.
研究平面分片光滑系统中同宿环的稳定性,在粗鞍点的情况下,给出了判断分片光滑同宿环稳定性的充分条件,证明了分片光滑同宿环的稳定性由鞍点量的符号惟一确定。
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5)  piecewise smooth boundaries
分片光滑边界
1.
This paper gives the inner and outer limit value:Φ +(t)=(1-β(t)/S)φ(t)+∫ Ωφ(ζ)K(ζ,t) Φ -(t)=(-β(t)/S)φ(t)+∫ Ωφ(ζ)K(ζ,t)of the Cauchy_Fantappie type integral representation in domain DC n with piecewise smooth boundaries Ω are both belong to H(α,Ω), which generalizes a result by CHEN Shu_jin in 1994.
本文给出具分片光滑边界Ω的域D Cn 上的Cauchy_Fantappie型积分表示的内外极限值 :Φ+(t) =( 1 - β(t) /S) φ(t) + ∫Ωφ( ζ)K( ζ ,t)Φ-(t) =( - β(t) /S) φ(t) + ∫Ωφ( ζ)K( ζ ,t)属于H(α ,Ω) ,推广了陈叔谨先生 1 994年得到的一个结果 。
6)  piecewise C2 function
分片光滑函数
补充资料：分片包干
1.划出范围，负责完成任务。
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