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Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.

由广义函数弱收敛定理和卷积理论,证明所提出的非局部连续模型具备收敛性和稳定性。

In part two, this thesis is dealt with properties of solutions to a degenerate parabolic system coupled via non-local sources, subject to homogeneous Dirichlet conditions and nonnegative initial data.

第二部分,讨论了一类具有齐次Dirichlet边界条件和非负初值的非局部源耦合的退化抛物系统的第一初边值问题。

Based on this definition, it is concluded that community public products are a kind of special social intervenient products between pure public products and pure private products. Therefore, they have the characteristics of partly-non-exclusiveness, limitedly-non- rivalry, selectivity, and openness.

通过对社区公共产品概念的界定,我们知道,社区公共产品是介于纯公共产品和纯私人产品之间的一种特殊社会产品,它具有局部的非排他性、有限的非竞争性、可选择性和外部性的特征。

A class of nonlocal reaction diffusion systems with the Neumann boundary condition that arose f rom the theory of ignition is studied.

研究了一类来源于燃烧理论的半线性非局部反应扩散方程组。

The problem of incongruous counterparts can be raised even for objects in one-dimensional space if those objects are assumed to have non-topological but local properties such as color, or if objects may be non-connected, i.e."not in one piece." It is less clear whether the problems about time that have no spatial analogues are connected with the one-dimensionality of time.

这类问题(——the "problem of incongruous counterparts『类比会带来不协调的问题』"),即使处在一维空间中的客体,也是可以提出的,如果这些客体假设了拥有非拓扑但局部的属性,例如颜色,或如果客体可以是non-connected『非拼接的』,即"not in one piece『不是一个整块』")不太清楚,时间关联于一维的那些问题,是否有空间的类似问题。

Ritz method was adopted to study the natural frequency of nonlocal elastic bar .

采用Ritz法求解了非局部弹性直杆的固有频率问题。

To solve it, we turn it into nonsmooth equations, utilizing inexact theory we give an inexact generalized Newtons method and under some mild conditions we prove that it is global convergence and superlinear convergence .

首先将其约束问题的求解转化为非光滑方程组的求解,然后利用不完全求解理论给出了一个非精确的广义牛顿算法,在一定的条件下证明了算法的全局收敛性和局部超线性收敛性并给出了LC~1非线性约束问题的收敛性条件。

Different from the imbricated or overlay discrezed numerical technique, an isoparametric map is proposed for the numerical code programming of this nonlocal model.

不同于迭盖离散数值技术,文中设计了实现非局部模型数值编码的等参映射方法。

We prove the existence of integral solutions for semilinear integrodifferential equations with nonlocal conditions in Banach spaces.

运用预解算子理论和Schauder不动点定理,在Banach空间证明了一类非局部半线性积微分方程积分解的存在性。

When two particles couple themselves in a singlet at short distances (one with spin up and one with spin down) the new nonlinear, nonlocal and nonpotential forces due to deep wave-overlappings are so attractive to overcome possible repulsive Coulomb forces, and permit new bound states at short distances which simply cannot be conceived - let alone treated - by quantum mechanics and chemistry.

当两个粒子在很小的作用距离内相互偶合成为零自旋态〔一个上旋而另一个下旋〕,深深重叠在一起的波导致新型的非线性、非局部和非潜势力的引力大到得以克服相互排斥库伦力,允许很小相互作用距离内的一种新的限制状态。量子力学和量子化学无法考虑,更不用说去处理,这种新的限制状态。

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