查询词典 singular boundary

In this paper,the existence of multiple positive solutions for a class of fourth-order p-Laplacian operator singular boundary value problems is discussed by using the fixed point index,and some sufficient conditions are given such that the problem has at least two positive solutions.

利用不动点指数理论研究了一类含 p-Laplace算子的四阶奇异边值问题的多重正解的存在性，给出了至少存在两个正解的条件，改进了不久前其他作者的相关研究。

The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.

常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。

According to Oseledec multiplicative ergodic theory and singular boundary theory, the conditions of local and global stability were acquired.

为了研究随机因素对经济系统稳定性的影响，建立了系统可靠性函数和首次穿越时间概率密度函数，并结合初始条件和边界条件得到了数值结果。

According to the Logistic Equation and the impact of stochastic factors, a stochastic nonlinear dynamical model had been presenred. The max Lyapunov exponent was calculated by Oseledec multiplicative ergodic theory, the local stability conditions had been obtained; the global stability conditions had also been obtained by judging the modality of the singular boundary; the stochastic Hopf bifurcation was analyzed using the invariant measure of stable probability density, and the condition of stochastic Hopf bifurcation had been discussed. The key parameter impacting the urban domestic water consumption had been found by numerical emulation.

根据Logistic阻滞增长模型原理，考虑到诸多随机因素的影响，本文建立了一个城市生活用水量的随机非线性模型，运用Oseledec乘性遍历定理计算了模型的最大Lyapunov指数，得到了局部稳定性的条件；通过对扩散边界性态的分析，得到了全局稳定性的条件；通过分析系统平稳状态概率密度的不变测度，得到了模型随机Hopf分岔的条件，结合实际进行了数值仿真，得到了影响用水量的关键参数。

On the basis of the above references, this paper attempts to make use of cone compression and expansion fixed point theorem, Mnch fixed point theorem and fixed point index theorem to discuss a special kind of singular boundary value problem-Lidstone boundary value problem.

主要包括以下三个方面的内容：第一章考虑了Banach空间中2n阶奇异边值问题正解的存在性，其中f在t=0，1处具有奇异性这里θ表示Banach空间E中的(来源：faABC论文网www.abclunwen.com零元。

In chapter 4, we first discussed the existence of multiple positive solutions of the second order nonsingular Dirichlet boundary value problem for impulsive differential equations by using the fixed point index theorem in cones . Next, we presented some new existence results for singular boundary value problems for second order impulsive differential equations by using fixed point theorem in cones and Leray-Schauder nonlinear alternative theorem.

第四章我们首先利用锥不动点定理讨论了非奇异二阶脉冲微分方程狄利克莱边值问题多个正解的存在性；其次我们用锥不动点定理和Leray-Schauder型非线性抉择定理，讨论了奇异二阶脉冲微分方程狄利克莱边值问题一个及多个正解的存在性。

Special attention should be paid when we apply the decomposition method to two-point boundary value problems, it is necessary to solve a algebraic system;It should be noted that a modification of inverse operator should be made when dealing with singular boundary value problems;Laplace transform and Pade approximants can be coupled to enhance the efficiency of the decomposition method.

比如，在求解两点边值问题时就需要特别注意，这时需要采用待定系数法，最后会涉及到系数方程组的求解；在处理奇异边值问题时需要重新定义逆运算；不少研究人员还把分解方法与Laplace变换和Padé逼近相结合来进一步提高分解方法的精度。

Singular boundary value problem; Fixed-point theorem; Cone; Positive solution

基础科学，数学，数学分析奇异边值问题；不动点定理；锥；正解

Among them, the nonlinear impulsive problems and singular boundary problems arise from a lot of branches of applied mathematics and physics, which are at present active fields in analysis mathematics.

其中，非线性脉冲问题和奇异边值问题来源于应用数学和物理的多个分支，是目前分析数学中研究较为活跃的领域。

Singular boundary value problems are considered in many problems, but, people can get better results, using theories of function to study these problems.

然而，在抽象空间中对奇异边值问题的研究，还不是很多，刘衍胜教授在文[4]中做过一些探讨，本文第一章把原文作了一般性推广，并给出了算子全连续的条件，然后利用不动点定理得到了正解的存在性。

Means the parent directory, so this command means to execute "toolchain.sh," which is in the current directory.

代表父目录，所以这个命令就是执行当前目录下的"toolchain.sh"。

Yes,In fact,I'm on our city ream.

是的。事实上我是我们市队的。