基本释义:

柯西存在和唯一性定理

网络释义

1)Cauchy existence and uniqueness theorem,柯西存在和唯一性定理

2)Picard's existence and uniqueness theorem,皮卡存在和唯一性定理

3)Existence and uniqueness theorem,存在唯一性定理

4)the solution existence uniqueness theorem,解存在唯一性定理

5)existence and uniqueness of solution,解的存在唯一性定理

6)existence and uniqueness,存在性和唯一性

用法和例句

Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.

用基于度理论的不动点定理，建立了一系列存在唯一性定理。

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

By using the Sadovskii fixed point theorem,the existence and uniqueness of solutions for the initial value problem of a class of nonlinear singular impulsive integro-differential equations on half-line in Banach spaces is investigated under more extensive conditions,and the known results in the literatue are extended and improved.

本文在更广泛的情况下,利用Sadovskii不动点定理研究了Banach空间中半直线上一类非线性奇异脉冲积分-微分方程初值问题解的存在性和唯一性,推广并改进了已有文献中的相关结果。

Deals with a class of singular nonlinear two point boundary value problem -y″=f(x,y),0≤k<x<1,y′(k)=C,y(1)+Dy′(1)=η ( D >0) with a view of obtaining the existence and uniqueness of positive solutions.

研究了一类奇异非线性两点边值问题－ｙ″＝ｆ（ｘ，ｙ），０≤ｋ＜ｘ＜１，ｙ′（ｋ）＝Ｃ，ｙ（１）＋Ｄｙ′（１）＝η（Ｄ＞０）的正确的存在性和唯一性，其中假定函数ｆ（ｘ，ｙ）关于变量ｙ具有奇性（ｌｉｍｙ→０＋ｆ（ｘ，ｙ）＝＋∞

The present paper covers the existence and uniqueness of solution for its boundary valueproblem of the reaction-diffusion system of volterra type proved by means of upper and lower solu-tion.

利用上下解得到了一个Ｖｏｌｔｅｒｒａ型反应扩散方程组，初边值问题解的存在性和唯一性，并将所得的结果应用于两种群共生系统的实际模型。

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

The Existence and Uniqueness of Solutions for the Systems of Mixed Monotone Operator Equations;

混合单调算子方程组解的存在唯一性定理

Existence and uniqueness theorems of solutions for systems of mixed monotone operator equations;

混合单调算子方程组的存在唯一性定理

The Existence of Uniqueness Theorens of the Solutions of Some Anti-mixed Monotone Operator Equations

反向混合单调算子方程解的存在唯一性定理

Teaching Study of Sole Existence Theorem of Solution to Ordinary Differential Equations

常微分方程解的存在唯一性定理教学研究

Existence and Uniqueness Theorem for Best Approximation Polynomials of the Weighted Functions

函数带权的最佳逼近多项式的存在唯一性定理

The Reform of Solutions of Existence and Uniqueness of Group forOrdinary Differential Equations Instruction;

常微分方程课程中的线性微分方程组的解的存在唯一性定理的教学改革探讨

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

The Existence,Uniqueness And Stability Of Periodic Solutions For Differential Equations;

一类微分方程周期解的存在性与唯一性、稳定性

On the Global Existence and Uniqueness of Solutions to the Non-Stationary Boundary Layer Systems;

非定常边界层问题整体解的存在性及唯一性

Existence and Uniqueness of the Tail of the ARCH(1) Stationary Distribution;

ARCH(1)模型尾部稳定分布的存在性和唯一性

By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.

利用压缩映照定理,研究了一个二阶泛函差分方程边值问题,得到存在和唯一性定理.

By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.

应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。

The existence and uniqueness theorem of the screw tensor for the finite displacement of a rigidbody is proposed and then proved using the screw calculus.

本文提出并用旋量算法证明了刚体有限位移螺旋张量的存在性与唯一性定理。

The Existence and Uniqueness and Stability of Periodic Solutions and Almost Periodic Solutions for a Class of Functional Differential Equations;

一类泛函微分方程的周期解及概周期解的存在性、唯一性及稳定性

The existence and uniqueness and stability of periodic solution to a class of neutral functional differential equation

一类中立型泛函微分方程的周期解的存在性、唯一性与稳定性

The Minimal Determining Set without Consistency Choice and the Set s Unique Existence;

非一致性选择环境中的最小决定集及其唯一存在性

The Existence of the Global Solution to a Class of Fourth-Order Nonlinear Schrodinger Equation

一类四阶非线性薛定谔方程整体解的存在唯一性