1) existence and uniqueness of solution
解的存在唯一性定理
1.
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
2) the solution existence uniqueness theorem
解存在唯一性定理
3) existence and uniqueness of solution
解的存在唯一性
1.
The existence and uniqueness of solution, existence of global attractor, analytic properties for times of solution have been proved.
证明了该方程解的存在唯一性,整体吸引子的存在性,解的时间解析性。
2.
The existence and uniqueness of solution of the fuzzy random Volterra integral equations on the condition of mean square integral is proved.
讨论了模糊随机Volterra积分方程在均方积分的情况下解的存在唯一性。
3.
Writers discuss the existence and uniqueness of solution for a class of differential equations with delays,and proves an important conclusion by using Picard\'s methods.
研究了一类多时滞微分方程初值问题解的存在唯一性,用Picard方法证明了这类初值问题解的存在唯一性结论,它是常微分方程基本理论中著名的Picard存在唯一性定理的推广。
4) existence and uniqueness of solutions
解的存在唯一性
1.
The author studies the existence and uniqueness of solutions of two-point bouneleny value problems for nonlinear fourth-order differential equation y(4)=f(x,y,y ,y ,y ) where the function f is continuous on×R4,and satisfies the Lipschitz condition.
讨论了非线性四阶微分方程y(4)=f(x,y,y',y'',y''')的两点边值问题解的存在唯一性。
2.
The present paper deals with some boundary value problems for the degenerate hyper- bolic equations of second order,mainly the formulation and representation of solutions for Darboux s first problem and general oblique derivative problem are given,and then by the complex analytic method,the existence and uniqueness of solutions for the problems are proved.
文中先给出第一Darboux问题和一般斜微商边值问题的提法和解的表示式,然后使用复分析方法证明了上述问题解的存在唯一性。
3.
This paper studies fuzzy stochastic differential equations and mainly includes two parts:Discussion on existence and uniqueness of solutions to fuzzy stochastic differential equations of It(?)-type and the corresponding approximate solutions.
本文研究主要包括两个部分:第一部分为It(?)型模糊随机微分方程解的存在唯一性的讨论,先给出解的定义以及全局Lipschitz条件下解的存在唯一性,随后又进一步将条件减弱为局部Lipschitz条件,并给出了Picard迭代的估计式;第二部分为It(?)型模糊随机微分方程的近似解。
5) existence and uniqueness
解的存在唯一性
1.
So far no one find out the existence and uniqueness theorem of clear and simple explaination and convenient to use.
n阶非线性常微分方程n点边值问题解的存在唯一性早在 2 0世纪 5 0年代就有人开始研究 ,所得结果都是在条件及其复杂 ,假设了一些边值问题解的存在性或唯一性 (甚至包括其自身的 )的基础上得到的[1 ] ,这给应用带来了困难。
2.
We prove the existence and uniqueness of the solution of the mathematical expectation iteration equation,and also prove that the unique solution of this equation is just the global minimum of the original optimization problem.
本文研究用数学期望型水平值逼近一类优化问题总极值的算法,证明了算法所构造的数学期望型水平值迭代方程的解的存在唯一性,同时证明了方程的解是原来优化问题的总极值,并对可统一到该算法理论框架下的几种可实现算法进行了简要描述,数值实验结果验证了算法的有效性。
补充资料：唯一
1.唯独;独一无二。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条