1) Schuauder-Tychonoff fixed-point theorem
Schuauder-Tychonoff不动点定理
2) Schauder-Tychonoff fixed point theorem
Schauder-Tychonoff不动点定理
1.
With Schauder-Tychonoff fixed point Theorem,this paper discusses the necessary and sufficient conditions where the third order quasilinear differential equation has specific no-oscillatory solutions under some special conditions.
利用Schauder-Tychonoff不动点定理讨论了一类三阶非线性微分方程在特殊条件下的最终正解存在的充分必要条件。
3) Schauder tychonoff fixed point theorem
Tychonoff不动点定理
5) Tychonoff product theorem
Tychonoff乘积定理
6) fixed-point theorem
不动点定理
1.
By using fixed-point theorem in cones and fixed-point index theory,a class of discrete P-Laplacian boundary value problem was discussed and a sufficient condition of existence of one or two positive solutions was obtained.
利用锥上的不动点定理及不动点指标理论对一类离散P-Laplacian边值问题正解的存在性进行了讨论,得到了该问题存在一个及两个正解的充分条件。
2.
This paper presents an algorithm based on fixed-point theorem and Quine.
论文提出了一种基于不动点定理和Quine的建立自修复式程序的算法。
3.
By means of Darbo s fixed-point theorem,an existence result of solution for two-point boundary value problem of nonlinear fractional differential equation is obtained.
讨论了非线性分数阶微分方程的两点边值问题,其中的导数是Caputo型分数阶导数,非线性项是Carathéodory函数,应用Darbo不动点定理,证明其在L(0,1)中存在解。
补充资料:Borel不动点定理
Borel不动点定理
Borel fixed - point theorem
B吮l不动点定理{B.限l五xe小州nt价e僻m二匆卿,T侧邓吧,f.01”聊叉B“狱班滋n卜.王j 设F为代数闭域kl二非空完全代数簇,正则地作用于犷上的连通可解代数群G(见变换的代数群扭1罗-braic goup of transformat一ons))在卜中有不动点.由这个定理可以推出代数群的B.耽l子群(Borel sub-grouP)是共扼的(Bore卜MOI洲)叉)B定理(Borel一Moro-zov theorem)),不动点定理是A.Borel([lj)证明的.Borel定理可以推广到任意域k(不一定代数封闭卜设F为在域k上定义的完全簇若连通可解k分裂群(人一sPlit grouP)G正则地作用在F上,则有理人点集V(k)或者为空集,或者它包含G的一个不动点.因此推广的Bore]子群共扼性定理是:若域k是完满的,则一个连通人定义的代数群H的极大连通可解北可裂子群,在H的k点构成的群中元素作用下互相共辘(f21),
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