不等式

In chapter 3,we discuss the existence of solutions for impulsive differential equations with two-point boundary condition.

通过使用脉冲不等式和分析方法，得到了一阶脉冲微分方程周期边值问题新的比较结果，借助所给的新的上下解，结合单调迭代技巧，建立了一阶脉冲微分方程周期边值问题极值解的存在结果。

In the case that the oscillation factor isn't sign reversal and neutral factor is p, by discussing the sign of the neutral term's first derivative and using Holder inequality the oscillation conditions of the all solutions of this kind of equation are studied, three sufficient theories that all solutions of the equation oscillate are obtained.

在振动因子q保号、中立型因子p的情况下，通过对中立型项一阶导数符号的讨论，根据Holder不等式，研究了该类方程的解振动的条件，得到了所研究方程所有解振动的三个充分性定理，所得结论是对该类问题已有结论的进一步完善和推广。

The central problem is whether thecommutatoris self-adjoint or not since every observable in quantum mechanics isrepresented by a self-adjoint operator.

对于该不等式的一个中心问题是：交换子i不是自共轭的，也就是说，不是量子力学中的一个观测量。

Self-adjoint Sturm-Liouville problems, separated and coupled boundary conditions, inequalities among eigenvalues, equalities.

| 自伴Sturm-Liouville问题；分离与偶合边界条件；特征值间的不等式

The solutions are obtained by interactive calculation of two linear matrix inequalities based on homotopy method.

分散H∞控制器的设计可以归结为基于同伦参数法的两个线性矩阵不等式的求解问题。

Inequalities of martingales play an important role in modern martingale theory.

中文摘要：在现代鞅论中，鞅不等式具有很重要的作用。

And these results not only extend the classical inequalities of martingale Hardy space, but also point out the close affiliation between the Boyd indices of rearrangement invariant martingale space and the characters of the martingales in it.

这些结果不仅推广了经典鞅Hardy空间中的不等式，而且深刻地揭示了重排不变鞅空间的Boyd指数和其中鞅性质的密切联系。

Finally, we offer a method to reduce shift communication. In chapter 5, we invent a method based on linear inequalities representation to perform communication optimization and code generation. This method eliminate the restrictions on processable program placed by RSD based method used by RICE Fortran D Compiler or Symbolic Set based method used by PARADIGM Compiler.

第五章提出了一种以线性不等式组作为工具的更加实用化的通讯优化和结点代码生成方法，该方法克服了RICE大学实现FortranD编译器使用的基于规则段描述子的方法以及PARADIGM编译器使用的基于符号集的方法对输入程序的诸多限制，避免了复杂的规则段运算和符号集运算及其造成的无效性，拓宽了可处理的程序类，增强了编译器的处理能力。

In chapter 2, the stability of dist...

随后采用李雅普诺夫函数方法，并运用了推广的Halanay时滞微分不等式分别研究了分布时滞的常系数和变系数Hopfield型神经网络的稳定性。

In this chapter,we use the improved inequality in article [9] to proved that under certain conditions,the equation (2.1.2) belongs to L·S∩L·C can be decided by the equation (2.1.1) belonging to L·S∩L·C.H.

本章利用文[9]中推广的不等式，证明了在一定条件下，方程(2.1.2)属于L·S∩L·C的问题可由方程(2.1.1)属于L·S∩L·C来判定。H。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。