Existence and Uniqueness of Global Solutions of a Free Boundary Problem Modeling Tumor Growth;
一个肿瘤生长自由边界问题解的整体存在[性]和唯一性
A criterion for existence of bivariate osculatory rational interpolants;
二元切触有理插值存在[性]的一种判别方法
Existence of Limit Cycle in a Class of Delay Network with a Ring of Three Neurons;
一类时滞环状三元神经网络极限环的存在[性]
A Nonexistence Theorem on Groups of Heisenberg Type;
Heisenberg型群上的不存在[性]定理
On the nonexistence of periodic solutions for a class of generalized Lienard system;
一类广义Liénard系统周期解的不存在[性]
On the nonexistence of limit cycle for a type of plane differential system;
一类平面微分系统极限环的不存在[性](英文)
Nonexistence Existence and Multiplicity Results for Sturm-Liouville Boundary Value Problems;
Sturm-Liouville边值问题解的非存在[性]、存在[性]和多重性结果
Existence and Nonexistence of Global Solutions for a Class of Semilinear Heat Equations;
一类半线性热方程整体解的存在[性]与非存在[性]
In view of the identity,the sufficient conditions of nonexistence of weak solution for two classes of quasilinear probles are obtained.
研究结果将对研究某些类p-双调和方程解的非存在[性]起到很好的作用。
The multiple solubility as well as the non-existence of such solutions is also investigated.
利用全连续算子的性质和锥上 Krasnoselskii不动点定理考察了一类二阶脉冲微分方程边值问题的正解存在[性]、多解性和非存在[性]。
The non-existence of positive solution for Δu+|x|~m(u~p-u)=0 (p>1,m>0) about the Dirichlet problem in a star-shape area of R~n is discussed.
讨论了方程Δu+|x|m(up-u)=0(p>1,m>0)在Rn中有界球域上Dirichlet问题的正解的非存在[性]。
Some sufficient conditions of the existence of limit cycles of the Liénard equation are discussed.
还证明了在限制G(±∞ ) =+∞被取消时 ,其极限环的存在[性] ,当 φ(y) =y时即为文献 [1]的定理 2。
Using the elementary theory and essential method of limit and derivative,the author discussed the existence of the derivative of the parametric equation function,obtained it derivative existence condition and the result under several kind of situations,and provided some example.
利用极限和导数的基本理论和基本方法,对参数方程确定的函数导数的存在[性]进行了讨论,得出了几种情况下其导数存在的条件和结果。
The existence of at least one positive solution was shown if F is neither superlinear nor sublinear by a simple application of a Fixed Point Theorem in cones.
通过构造Green函数,借助锥不动点定理讨论二阶常微分方程两点边值问题u″+u+f(t,u)=0,αu(0)-βu′(0)=0,γu(1)+δu′(1)=0正解的存在[性]。
The existence of periodic soclution for linear time-variable singular systems;
时变广义线性系统周期解的存在[性]
The existence of a nonnegative solution u satisfying u| Ω =+∞ is proven.
应用摄动方法、上下解方法、单调性方法结合二阶椭圆型偏微分方程的估计方法得到了问题Δu=k(x) [up+｜ u｜q] ,x∈Ω ,u｜ Ω =+∞非负古典解的存在[性] 。
Existance and Non-existance of Limit Cycle in the Fourth Quadrant of a Class of Cubic System;
一类三次系统在第四象限极限环的存在[性]
In this paper we establish a criteria of existance for independence of events and give its an application for number theory.
本文建立关于独立随机事件的一个存在[性]准则，这一准则适用于任意的概率空间；同时，应用这个准则可以得到关于数论的一个十分有趣的命题。
Non-existence Results for the Klein-Gordon-Born-Infeld Equations;
耦合Klein-Gordon-Born-Infeld方程解的不存在[性]
The Existence and the Non-existence of Global Solutions of a Free Boundary Problem;
一个自由边界问题整体解的存在[性]和不存在[性]
This paper briefly reviews the research on non-existence of connecting orbits in GradientLike systems, and based on the characteristics of connecting orbits, presents some criteria to judge non-existence of connecting orbits in R\+n, which is useful to form an operable math model for dynamic system theory study and its application.
简要回顾了似梯度型系统连结轨线的存在[性]的研究 ,在此基础上 ,根据似梯度型系统连结轨线的性质 ,对 Rn 中似梯度型系统连结轨线的不存在[性]给出了一些判别准则 ,有助于对动力系统理论研究及实际应用形成可操作的数学模
A kind of set-valued type(with restriction) input-output equation was introduced,and tackled by applying some nonlinear analysis approaches,the solvability(namely,existentiality and continuity) results were obtained.
引入了一类集值型(带约束)投入产出方程,并用非线性分析的某些方法加以处理,由此获得其可解性(即存在[性]和连续性)的一些结果。
A kind of nonlinear type(with restriction)input-output equation was introduced and tackled by the Brouwer degree theory and set-valued analysis methods,from which the solvability(namely, existentiality and continuity)results were obtained.
引入了一类非线性型(带约束)投入产出方程,并用Brouwer度理论和集值分析的方法加以处理,由此获得相应的可解性(即存在[性]与连续性)结果。