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We establish the equivalent integral equations to these problems, and prove that the defined operator is completely continuous.

建立了与这些问题等价的算子方程，并证明了所定义的算子是全连续的。

In chapter two,we find a completely continuous operator,the original operator equation is transformed a fixed point problem.

在第一章中，我们给出本文要用到的一些预备知识和本文的主要结果。

The main tools are the iterative method of monotone operator and the cone-compression theory of completely continuous operator.

主要工具是单调算子的迭代方法和全连续算子的锥压缩理论。

2By constructing a completely continuous operator in a functional space and employing the cone compression and expansion fixed point theorems, we obtain some sufficient conditions which guarantee the existence of positive periodic solutions for Eq.

通过在一个函数空间构造一个全连续算子，再利用锥压缩锥拉伸不动点定理，得到了一些保证方程(1)，(2)至少存在一个周期正解的充分条件，所得结论改进了文[1]和[6]中的结果。

Ringrose began to study nest algebras in the 1960s, many people have devoted themselves to the study of non-selfadjoint and reflexive operator algebras including nest algebras, commutative subspace lattice algebras, completely distributive subspace lattice algebras and so on, and obtain a lot of beautiful achievements.

自从60年代J.Ringrose开始研究套代数以来，人们对套代数、交换子空间格代数和完全分配子空间格代数等非自伴自反算子代数进行了深入研究，并且取得了大量出色的研究成果。

With the help of nonlinearization approach, the Lenard spectral problem related to the DNLS hierarchy is turned into a completely integrable Hamiltonian system with a Lie-Poisson structure on the Poisson manifold

通过非线性化方法，证明了与DNLS孤子族相联系的Lenard特征值问题在具有Lie-Poisson结构的Poisson流形C~N×R~N上是完全可积的Hamilton系统。

The terms neglected in the derivation of this completely integrable equationshould be considered as perturbations.To study the methods of amplifying or controllingoptical solitons,a perturbation theory is also necessary.

在导出这个完全可积方程的过程中忽略了的项要作为微扰加以考虑，研究对光孤子的放大和控制等手段，也需要使用微扰理论。

Under the constraints between potentials and eigenfunctions, the Lax systems are nonlinearized to be finite dimensional completely integrable systems in Liouville sense.

在位势与特征函数之间的约束条件下，Lax系统被非线性化成为有限维Liouville完全可积系统。

The soliton solution to most completely integrable (1+1) nonlinear partial differential equations, especially to which has important physical applications, were found by inverse scattering transform (1ST) method.

本论文从严格孤子解、孤子微扰理论和数值模拟三方面研究一些孤子传输系统。

We mainly consider completely monotone functions from semigroup to operator algebras.

我们主要讨论了作用在半群上取值于算子代数的完全单调函数。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。