2) n-time integrated C-semigroup
n次积分C半群
1.
By means of the probabilistic estimation of convergence rate for C-semigroups and the properties of exponential bounded n-time integrated C-semigroups,some brief probabilistic approximations and convergent rates are obtained.
利用C半群收敛速度的概率型估计式,结合指数有界的n次积分C半群的性质,给出了n次积分C半群的概率型逼近式及收敛速度的估计式。
3) n-times integrated C-semigroups
n次积分C半群
1.
n-times integrated C-semigroups and abstract cauchy problem;
n次积分C半群与抽象柯西问题的强解
2.
In this paper, we obtain several properties of n-times integrated C-semigroups and their proofs.
引入了主算子为n次积分C半群生成元的线性非齐次抽象柯西问题强解的概念,讨论了相应抽象柯西问题存在强解的一些充分必要条件及强解的表示式。
3.
The Laplace inverse transformation for n-times integrated C-semigroups is discussed.
讨论了n次积分C半群的Laplace逆变换形式,并通过限制预解式得到了n次积分C半群的渐近展开式。
4) n-times integrated C-semigroups
n次积分C-半群
1.
The Approximation Theorems and Spectral Mapping Theorems for n-times Integrated C-semigroups;
n次积分C-半群的逼近定理和谱映照定理
2.
Convergence for exponentially bounded n-times integrated C-semigroups and approximation problem for a sequence of operators were discussed.
讨论了指数有界的n次积分C-半群的收敛性和算子列的逼近问题。
3.
In order to solve some abstract Cauchy problems,mathematicians created n-times integrated C-semigroups,then generalized n-times integrated semigroups and C-semigroups.
为了解决更多类型的抽象柯西问题,在半群理论中引入了n次积分C-半群,推广了n次积分半群和C-半群。
5) n-times integrated semigroup
n次积分半群
补充资料:次切线和次法线
次切线和次法线
subtangent and subnormal
次切线和次法线【,奴。嗯翻ta己,由.刃nllal;no八Kaca-,一eJ,,,Ra”H”0八nOPM幼L」 有向线段QT和QN,它们是某一曲线在点M处的切线(tan罗nt line)段MT和法线(norlml)段对N在、轴上的投影(见图). 少l, 口‘吧不‘一一-一-一号-份甲间二 TO柑 如果达一曲线是函数y二‘j(x)的图形,则次切线和次法线的长度分别等于 。二__f(x)。、了_了丫、,、,,,_、 心T“一分书丁,QN=f(x)f’(x), 一f’(x)’乙一其中x是点M的横坐标.如果这一曲线由参数式给出: x=甲(t),夕=沙(t),则 。7’二一竺红纽自兰立。、,_竺立丝三旦 “一少‘(t)’“一少‘(t)其中t是确定曲线上点M的参数值.Bc3一3【补注】 IAI]Berger,M二Geo瑰t仃,2,SP力幻gcr.1989(中译 本二M.贝尔热,儿何,第一一五卷,科学出版社, 1987一1991). 工AZ j Go掀5 Te认eira,F,Tralt己des oourbes,l一3. Chelsea.犯Print,1971. 〔A3 1 Lamb,日二知6mtes,Inalc时e以us,Cambnd罗.U:uv. Press,1924.杜小杨译
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