查询词典 existence conditions

In Chapter 1, we use the upper and lower solutions method, the bootstrap technique and the Schauder fixed point theorem to investigate the existence of periodic solutions and the asymptotic behavior of general time-dependent solutions for periodic reaction-diffusion systems of the following three types:(1) Quasimonotone nondecreasing system;(2) Mixed quasimonotone system;(3) A nonquasimonotone 2-system. The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章，我们应用上、下解方法，bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态：（1）拟单增系统；（2）混拟单调系统；（3）一个非拟单调2-系统，其边界条件是Dirichlet条件或线性Robin条件。

We analyze the three conditions that Hattori has given,and then establish a new social choice function with subordinate reations,which only satisfy the condition of unrestricted domain and not the conditions of existence of a dictator and independence of influence of irrelevant individual,so as to make the social choice functions with subordinate relations more complete.

分析了Hattori给出的三个条件的合理性，并建立了一个仅满足非限制域条件而不满足存在一个独裁者与无关个人影响力独立性条件的具有从属关系的社会选择函数，使具有从属关系的社会选择函数族更加完备。

Under some moderate conditions, the prior estimate of the solutions of the system is obtained. Making use of constructing Picard iterative sequence, Doob martingale inequality, Gronwall inequality, Borel-Cantelli lemma and some fundamental inequalities, together with the uniform Lipschitz conditions, the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay is derived on the interval t0,∞.

在适当的条件下，得到了随机泛函微分方程的解的先验估计；再结合一致Lipschitz条件，通过构造Picard迭代序列，利用Doob较不等式、Gronwall不等式、Borel-Cantelli引理及一些基本不等式，得到该方程的解在区间[t0，∞]上是存在且唯一的。

Under some conditions we obtain the existence of nontrivial solution by analyzing the best Sobolev embedding constant and by use of the minimax theorems without conditions.

通过使用没有条件的极小极大定理，以及对最佳Sobolev嵌入常数的详细分析，得到了一些具临界Sobolev指数的半线性椭圆系统的真正非平凡解的存在性，并讨论了解的一些性质。

In fact, the need to define these rights, which are essentially a reiteration of the optimal conditions for human existence, has arisen because these conditions are not met in the lives of the majority.

事实上，有必要界定这些权利，这基本上是一个重复的最佳条件，人类的生存，出现了，因为不符合这些条件的生活中占大多数。

The development and existence of the gas hydrates are controlled prominently by the structural conditions. Several special structural units in the active or passive continental margins including accretionary wedge, mud volcano, mud diaper and seafloor slip are favorable structures for the development and existence of gas hydrates.

天然气水合物的发育和赋存明显受构造条件控制，一些活动和非活动大陆边缘的特殊构造单元，如增生楔、泥火山、泥底辟、海底滑塌体均有利于水合物的发育和赋存。

The effects of many factors in the wet end on drainage and retention of PEO/attapulgite system: During the scope of 2-12, pH has no effect on drainage, and retention ratio lower in acidic conditions and higher in neutral or alkaline conditions. There were some improvement on slurry's drainage and some impairment on retention efficiency for the existence of inorganic salts. Lignosulphonate had no effect on drainage and made retention ratio decrease 5-8%; lignosulphonate and xylan had no effect on drainage and made retention ratio decrease a little. 5 .Attapulgite could be modified by intercalation.

纸机湿部系统的影响因素对PEO／凹凸棒粘土助留体系的助留助滤效果的影响表现为：pH值在2-12范围内，对助滤效果是没有影响的，使助留效果在酸性条件下较差，而在中碱性条件下较好；无机盐的存在使浆料的滤水性能有一定的改善，使助留效果有所削弱；木质素磺酸盐对助滤效果是没有影响的，使留着率下降了5—8％；木质素磺酸盐与聚木糖对助滤效果也是没有影响的，使留着率略有下降。

And he realizes the ultimate reality of life by this. The meaningful life is the life without pity. The life without pity is the prelusory goal of life, the authentic existence said by Martin Heidegger and the life of superman said by Friendrich Nietzsche. The life cotains works and games. People work for existence and exist for pleasure. The ways of the ultimate devotion are the ways to get pleasure. The meaningful life is the life with pleasur. We can enjoy our life by changing conditions to create a game or changing our minds to feel the pleasure from affairs.

有意义的生命就是死而无憾的生命，死而无憾是人生的前游戏目标，也是海德格所称的本真的存在以及尼采所认为的超人的生命，人生必定存在工作与游戏，工作为了生存，生存则为了享乐，能够成为终极献身的方法就是可以得到乐趣的方法，有意义的人生就是享乐的人生，为了享受人生可以藉由改变外在环境，也就是创造游戏的环境，或改变自己的心态，感受事物中的乐趣来达成。

We study the existence of one solution and two solutions of problem(0.0.8)under sign conditions and sublinear growth conditions.

在允许非线性项无界，但是次线性增长的前提下，该章获得了符号条件下问题(0.0.4)的一个解和多个解的存在性。

For general periodic functional differential equations,the suffcient conditions for the existence of periodic solution are obtained,therefore,the existence of positive periodic solution to the chemostat model is verified.

对一般的周期泛函数微分方程，导出了周期解存在的充分条件，并由此获得了微生物培养模型正周期的存在性。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。