Departuring from the existence theorem of continuous function root on the closed interval,through relaxing its conditions,we have got several inferences on the existence theorem of root,and proved them as well as giving a specific application.
本文从闭区间上连续函数根的存在定理出发,通过放宽其条件,得到根的存在定理的几个推论,在对其进行证明的同时给出了具体应用。
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。
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。
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。
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
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。
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。
A note of the existence and uniqueness of solution of differential equations in Banach space;
Banach空间中常微分方程解的存在唯一性定理的注
kronecker existence theorem
克罗内克存在性定理
existence theorem of implicit function
隐函数的存在性定理
EXISTENCE THEOREM OF ZORE AND COINCIDENCE THEOREM OF SET-VALUED MAP
集值映射的零点存在性定理与重合定理
Existence Theorem of Efficient Points in Locally Convex Hausdorff Spaces;
局部凸Hausdorff空间中有效点的存在性定理
Nash Equilibrium Existence Theorem in Hyperconvex Spaces
超凸空间上Nash平衡点的存在性定理
The Boundary Problems of Nonlinear Differential Equation;
几类非线性方程正解的存在性定理及应用
Some Existence Theorems of Solutions for Nonlinear Operator Equations;
关于非线性算子方程解的若干存在性定理
The Existence Theorems of Fixed Points for Some Nonlinear Operators and Application
几个非线性算子不动点的存在性定理及其应用
GENERAL EXISTENCE THEOREMS OF RANDOM SOLUTIONS FOR EQUATIONS OF RANDOM SET-VALUED OPERATORS
随机集值算子方程随机解的一般存在性定理
Some New Existence Theorems of Coupled Quasi-solutions for a Class of Operator Equations;
一类算子方程的耦合拟解的几个存在性定理
AN EXISTENCE THEOREM FOR SECOND ORDER DISCRETE BOUNDARY VALUE PROBLEMS;
二阶离散边值问题的一个存在性定理(英文)
A Judging Theorem about Inextreme Value Point's Existence
关于非极值点存在性的一个判定定理
The Rationality of ”Feminist Literature” and Its Definition;
“女性文学”存在的合理性及其定义
Existence theorem of positive solution to a nonlinear Sturm-Liouville problem
非线性Sturm-Liouville问题的一个正解存在定理
Reasons of Diversity & Uncertainty of Musical Understanding;
音乐理解多解性与不确定性存在的原因
Note to the Availability and Singleness of a Resolution;
关于解的存在性与唯一性定理的一点注记
AN EXISTENCE-UNIQUENESS THEOREM FOR TWO-POINT BOUNDARY VALUE PROBLEMS OF THE PSEUDOLINEAR EQUATION;
一个拟线性两点边值问题存在唯一性定理
Sufficient Theorem about Periodic Solution for a Class of High Order Nonlinear Equations
一类高阶非线性方程周期解存在的充分性定理