| 1. | Generation of increasing integrated semigroups of strong - contractions
增加的强压缩积分算子半群的生成 |
| 2. | Some estimators about approximations and convergent rates for operator semigroups
算子半群逼近及收敛速度的几个估计式 |
| 3. | Elliptic maximum principle and krein - rutman theory with parabolic maximum principle and operator semigrou
定理以及抛物极值原理与算子半群 |
| 4. | By using the operator semigroup theory we prore the existence of a unique positive solution of this model on c0 and study the spectral properties of the corresponding operator
我们运用算子半群理论，证明了此模型在序列空间c 。上存在唯一非负的时间依赖解，并且研究了相应算子的谱特征。 |
| 5. | In this paper , we study the cold redundant repairable system with two indentical components , obtain its existence and uniqueness of a dynamic state nonnegative solution by strongly continuous semigroup of operators theory
摘要用强连续算子半群理论给出了两相同部件冷贮备可修系统动态非负解的存在唯一性证明。 |
| 6. | The paper will apply the methods of differential dynamical system and of functional analysis to the study of a series of linear operators and semigroup - nonwandering semigroup in chaotic dynamical system
本文将利用微分动力系统和泛函分析的方法，着重研究混沌动力学中的一类线性算子以及算子半群? ?非游荡算子半群。 |
| 7. | In this paper , we use the analytical method . by using the theory of semigroups of linear operators , we study the integrated semigroups of linear operators and their applications to continuous - time markov chains ( ctmcs )
本文着力于使用分析的方法，以算子半群理论为工具，研究积分算子半群及其在时间连续markov链中的应用。 |
| 8. | In addition , in a certain infinite dimensional space , the paper will provide an example of nonwandering semigroup and a sufficient condition for nonwandering semigroup . according to recent results and methods , we may get the hypercyclic decomposition of nonwandering semigroup . and , we will discuss the hypercyclic decomposition from the multi - hypercyclic operator provided not long ago
本文还将在特定的无穷维空间找出具体的非游荡算子半群例子，将给出非游荡算子半群的一个充分条件，且依照已有的结果和方法获得非游荡算子半群的超循环算子半群分解。 |
| 9. | In addition , the paper will analyze the existence condition for nonwandering semigroup by the methods of topological dynamical system . from the mature results of finite dimensional space , such as the topological mixing , we discuss any other methods to solve the problems of infinite dimensional space , so as to provide the similar methods for the similar work
另一方面，本文将结合微分动力系统和拓扑动力系统的研究方法，主要从微分动力系统的角度，从根本上分析非游荡算子半群存在的条件，并结合与此密切相关的有限维空间的一些成熟的理论，如拓扑动力系统中的拓扑混合性等，从不同角度试图解决无穷维空间的结论。 |
| 10. | As the applications of mixed monotone operators theory , some classes of equations are considered . some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed . some known results are generalized under weak conditions . and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup . the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained
作为混合单调算子理论的应用，本章讨论了非线性混合单调脉冲积微分方程和混合单调非线性椭圆方程方面的一些问题，不同程度地削弱了原有的条件，推广了已知的结果；还利用锥理论并结合算子半群的性质及其主要特征讨论了非线性脉冲发展方程初值问题、周期边值问题，给出了混合单调非线性脉冲发展方程的耦合周期解以及存在唯一解的充要条件。 |
