方程的解集

The results show that this class of equation possesses at least one solution or one positive solution if the "height" of its nonlinear item is appropriate in a bounded set.

结果表明，只要非线性项在某个有界集上的"高度"是适当的，这类方程至少有一个解或者正解。

The main results show that the class of equations has at least one solution or positive solution provided the "height" of nonlinear tern is appropriate on a bounded set.

主要结论表明只要非线性项在某个有界集上的"高度"是适当的，这类方程至少有1个解或者正解。

It takesthe weighted average of the L2 norm of the difference of the observation and thesolution of the system and the L2 norm of the difference of conormal derivativeat the different sides of the interface for every subdomain as cost functional andthe smooth coefficients of the subproblem and the value of solution of the originalproblem at interface as identification parameters;Using the property of continu-ous functional defined on compact set,the existence of the optimal solution of theidentification problem is proved;The necessary conditions of optimality charac-terized by the system equation,the adjoit equation and the variational inequalitysimultaneously are given by introducing the conception ofdifferential andadjoit variable;An algorithm is devised and its flow graph is given.

其次，针对分片光滑动力系统的特征，结合正演过程的区域分解算法，建立了分片光滑系统的分解区域参数辨识模型，该模型以子区域上解的实测值与计算值之差的L2范数和界面两侧的通量差的L2范数的加权平均作目标泛函，各子问题的光滑系数及界面上真解的值为待辨识参量；利用紧致集上连续泛函的性质，证明了子区域上参数辨识问题最优辨识参量的存在性；引入微分的概念，借助伴随变量，给出了由系统方程，伴随方程和变分不等式共同表征的最优性必要条件；根据此必要条件设计了算法，给出了算法的程序框图。

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先，讨论了含幺半群中基的基本性质及基与最小生成元集的联系，并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系；证明了在有唯一长度的半群S中，不可约生成元集、基、最小生成元集三者之间的等价关系；其次，讨论了字的组合与分解性，得出了字的本原性与不可分解性之间的关系---若为不可分解的，则一定是本原的，反之，不一定真；并运用图示法证明了字的可补性理论，讨论了方程，的可解性；在此基础上，用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字，其中，则是一个码；若则当且仅当{}是一个码。

This paper deals with global existence and blow-up profiles for the solutions of some classes of reaction-di...

本文讨论几类反应扩散方程解的定性性质：具有局部源的初值问题和具有非局部源的初边值问题解的整体存在性和有限时刻爆破的条件，同时爆破，爆破集，爆破解的爆破率、渐近行为等。

Yes. Infinite future is a solution set of equation, the total area needs more thinking and practice; the future is a Rubik's cube ever-changing, the need for more innovative ideas people.

是的。未来是一道无限解集的方程，总需要更多方面性的思考和演练；未来又是一个千变万化的魔方，需要人们更多的创新理念。

Yes. Infinite future is a solution set of equation, the total area required more thinking and practice; the future is also a variety of Rubik's cube, it required more innovative ideas.

是的。未来是一道无限解集的方程，总需要更多方面性的思考和演练；未来又是一个千变万化的魔方，需要人们更多的创新理念。

In chapter 4, the relation between Fatou components of a transcendental meromorphic function or a transcendental meromorphic solution of some differential equation and the set of singular values is discussed, the main considered question is the relation between wandering domains or Baker domains and the set of singular values.

第四章讨论了超越亚纯函数或微分方程超越亚纯解Fatou分支与奇值集的关系问题，主要是研究游荡域或Baker域与奇值集的关系，得到在一定条件下，某些超越亚纯函数的多连通游荡域以及某些微分方程超越亚纯解的Baker域必定含有奇值。

Firstly, the average equation under first,and second order of Van der pol-Mathieu-Duffing system are obtained through theatric methods. According to the stability criteria, the physical parameter plane is divided into different regions, associated with different types of steady state solutions, which are proved by employing numerical methods.

本文首先通过理论分析得到了Van der pol-Mathieu-Duffing方程在一、二阶近似下的定常解，分析了平均方程在不同参数平面内的幅值响应曲线，根据解的稳定性判据得到了物理参数平面上的分岔集以及定常运动在相应平面的分布情况，详细分析了该系统在各个区域内的动力学特性。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失