查询词典 existence conditions

Under Sturm-Liouville conditions, the existence of at least three positive solutions is proved by using Leggett-Williams fixed point theorem.

利用Leggett-Williams不动点定理，研究了在Sturm-Liouville边界条件下的一类二阶常微分方程组多个正解的存在性，得到了至少三个正解存在的充分条件。

Some sufficient conditions for the existence and multiplicity solutions of positive periodic solutions were obtained by using the fixed point theorem .

讨论一类具分布时滞的微分方程正周期解问题，利用锥不动点定理，获得了这类问题正解存在性和多重性的充分条件，推广和改进了已有文献的相关结果。

Existence, uniqueness and continuous dependence of C〓 solutions for an iterative functional equation related to invariant curves of functional differential equations with piecewise constant arguments are given under weaker conditions than that known results of C〓 solutions.

本章首先讨论了与逐段常时滞泛函微分方程不变曲线有关的一类迭代函数方程的连续解的存在唯一性和连续依赖性，不但弱化了已有结果的C〓光滑性的条件，还讨论了连续解的对称性，并根据对称性将一些结果推进到高维。

And with these results, I delve further into the theoretical issues of MSP and the concentration is on a special class of MSP-Doob skeleton processes. Generalized limit distribution, limit distribution of these processes and conditions and the expressions for the existence of invariable measure of such processes are provided. Finally, these new results are then applied to queueing theory, reliability theory and inventory theory. A detailed study of GI/G/1 queuing model, parallel connection system model, water reservoir model and perishable inventory model is discussed. These models have already been investigated to some degree. In particular, as mentioned above, some scholars have already successfully applied the transient behavior theory of MSP to these models and transient distributions of main variables in such models have been obtained. However, the limit behavior has not been addressed. In this thesis, limit behavior of main variables in the above-mentioned models is established.

在这个基础上，对马尔可夫骨架过程的理论进一步进行了探讨，将注意力集中于一类特殊的马尔可夫骨架过程Doob骨架过程，给出了这类过程的广义极限分布、极限分布以及不变测度存在性条件和表达式，并应用这些结论于排队论、可靠性理论和存储论等领域-具体分析了GI/G/1排队论系统模型、并联系统模型、水库储水模型、易腐烂物品库存模型——这些模型都不同程度地被许多学者研究过，特别，如前面提及，已有人成功地应用马尔可夫骨架过程的瞬时性态理论，获得了上述各模型中的主要参量过程的瞬时分布，但是，却并没有探讨它们的极限性态——建立了若干关于上述各模犁的主要参量过程的极限性态的结果。

By the upper-lower solution method, we obtain the sufficient and necessary conditions on the global existence of solutions.

在第一部分中，我们考虑有界区域上拟线性抛物方程和方程组的整体存在性和不存在性，也即，爆破。

Because of existence of global Lipchitz conditions, we just need to design suitable linear coupling term to achieve chaos synchronization.

由于全局Lipchitz条件的存在，我们只需要设计合适的线性耦合项就可以达到混沌同步的目的。

A family of sufficient conditions is given for checking global exponentialstability and the existence of periodic solutions.

数值模拟表明这些结论在较大程度上改进和推广了一些已有文献的结论。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

By using the continuation theorem of coincidence degree theory, homotopy invariance property and Lyapunov's approach, some sufficient conditions ensuring the existence and stability of positive periodic solutions of the system are obtained.

利用Mawhin重合度理论，并结合同伦不变性质，以及Lyapunov方法，获得该系统正周期解的存在性和全局稳定性的充分条件，推广和改进最近一些文献的结果。

The conditions that guarantee the existence of constrained points and segments in Voronoi mesh are presented, which puts forward a novel two-dimensional conforming Voronoi mesh refinement algorithm that completes the mesh by setting up initial examining strip set and subdivision of the strip set.

给出了限定点、限定线在Voronoi网格中存在的充要条件，提出了二维限定Voronoi网格细化算法，通过设置初始检测带，然后细分检测带来实现限定Voronoi网格的剖分；同时证明了该算法对于任意平面线段图输入限定条件的收敛性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。