查询词典 order boundedness

In Chapter 3,we investigate the boundedness results for some higher order commu-tators on MK_~.

第三章给出了高阶交换子在MK_~上的有界性结果。

On the other hand, in order to get more accurate results, more conditions were added to produce a new criteria on the boundedness and stability of solution for these equations.

通过将条件适当加强，得到了方程更好的吸引性，同时为有界性和稳定性的新准则确立奠定了基础。

This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式，结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作，并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

In Chapter 2,we obtain some boundedness results on MK_~for a class of higher order commutators T_~m and M_~m generated by fractional integral operators T_l and maximal fractional integral operators M_l with function bin BMOrespectively.

第二章得到了一类由分数次积分算子及分数次极大算子分别和BMO函数生成的高阶交换子T_~m及M_~m在MK_~上的有界性结果。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation. In part I, a group of sufficient conditions is given on continuation of solutions and three groups of sufficient conditions are given on boundedness of solutuicns of equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

Basing on thesingular integral operators T with weaker kernel introduced in chapter two,westudy the weighted boundedness on〓(1＜p＜∞)and the endpoint estima-tes of their higher order commutators with BMO functions in chapter three.

对第二章引入的弱核奇异积分算子，第三章主要讨论它们与BMO函数的高阶交换子〓在〓上的有界性及端点估计。

In this paper, the boundedness and stability of solutions for a class of fourth order nonlinear differential equations are studied by using the method of Liapunov function.

本文利用Liapunov函数方法，研究了一类四阶非线性微分方程解的稳定性及有界性，得出了解的有界性及稳定性存在的充分条件。

In the meanwhile,we also establish the boundedness results of the higher order commutators generated by Hardy-Littlewood maximal operator with rough kernels and corresponding fractional maximal operator with rough kernels on MK_~.

同时还建立了Hardy-Littlewood极大粗糙算子和相应的分数次极大粗糙算子所生成的高阶交换子在MK_~上的有界性。

The uniform boundedness principle of a family of fuzzy linear order-homomorphisms in L-fuzzy topological vector spaces is obtained.

得到了格值模糊拓扑线性空间中fuzzy线性序同态族的一致有界原理。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。