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1)  existence and convergence theorem
存在性收敛性定理
1.
But the existence and convergence theorem is more important to the theory of computation.
在不知道解的情况下能够验证收敛条件,并且往往同时可以断定解的存在性乃至唯一性,因此对于各种迭代法建立存在性收敛性定理,始终是迭代法理论研究的中心课题之一。
2.
In this paper,the existence and convergence theorem for Newton-type decomposition methods are given under the conditions of the Kantorovich-type theorem.
在Kantorovich型定理的条件下,给出了Newton型分裂方法的存在性收敛性定理
2)  Existence and convergence
存在性及收敛性
3)  convergence theorem
收敛性定理
1.
A convergence theorem of SOR iteration method
SOR迭代法的一个收敛性定理
2.
A convergence theorem of some iteration methods
某些迭代法的一个收敛性定理
3.
In order to ensure the convergence of algorithm,the convergence theorem of neural network algorithm and the theorem for solving numerical integration were given and proved.
为保证算法的收敛性,提出并证明了神经网络算法的收敛性定理,为学习率的选取提供依据。
4)  strong convergence theorem
强收敛性定理
1.
A strong convergence theorem for a family of nonexpansive non-self mappings;
一族非扩张非自映射的强收敛性定理
5)  existence theorem
存在性定理
1.
In this paper,to use the section theorem in the field of nonlinear analysis,we prove a new existence theorem of weight Nash equilibrium.
利用非线性分析中的截口定理,证明了一个新的权Nash平衡的存在性定理。
2.
After studying inverse problems in matrix theory as wellas inverse eigenvalue promems ofsymmetric tridiagonal matrices,the author has constructively proved an existence theorem ofsolutions to the inverse problems of generalized eigenvalue of symmetric tridiagonal matrices.
在综合分析矩阵论中某些反问题和对称三对角矩阵特征值反问题的基础上,提出对称三对角矩阵的广义特征值反问题解的存在性定理,并给予证明。
3.
By making use of an extension Krasnosel′skii fixed point theorem in cones,it is established that existence theorem of at least one positive solution for a class of nonlinear second-order m-point boundary value problems with derivative(1.
2)建立了至少一个正解的存在性定理,而且说明对边值条件(1。
6)  Existence Theorems
存在性定理
1.
In this paper, by applying Fan s Lemma,new existence theorems for vector implicit variational inequalities and vector implicit complementarity problems with a more general ordering in ordering Banach spaces introduced by Huang and Li are proved.
作者通过运用Fan引理,证明了一些由黄和李在实Banach空间中广义序意义下引入的向量隐变分不等式以及向量隐补问题新的存在性定
2.
The present paper covers nonlinear boundary value problem for a class second order Volterra-hammestein type integrodifferential equation (Φ p(u))=f(t,u,T 1u,T 2u,u),L(u(0),u(0))=0,R(u(1),u(1))=0 is studied by using upper and lower solution and obtained existence theorems.
本文利用上下解方法研究了一类Volterra-hammerstein型积分微分方程非线性边值问题(|u|p-2u)=f(t,u,T1u,T2u,u)(p>1)L(u(0),u(0))=0R(u(1),u(1))=0{[Tiu](t)=φi(t)+∫toKi(t,s)u(s)ds(i=1,2)给出了解的存在性定理。
3.
The present paper covers nonlinear boundary value problem for general second order Volterra-Hammerstein type integrodifferential equationis studied by using upper and lower solution and obtained existence theorems.
本文利用上下解方法研究了一般的二阶Volterra-Hammerstein型积分微分方程非线性边值问题 u″=f(t,u,T_1u,T_2u,u′),L(u(0),u′(0))=0,R(u(1),u′(1))=0, [T_1u](t)=φ_1(t)+integral from n=0 to t(K_1(t,s)u(s)ds),[T_2u](t)=φ_2(t)+integral from n=0 to 1(K_2(t,s)u(s)ds),给出了解的存在性定理。
补充资料:连续性与非连续性(见间断性与不间断性)


连续性与非连续性(见间断性与不间断性)
continuity and discontinuity

11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt,n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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