| 1. | Some conditions are obtained by using the semigroup theory , the properties of nonnegative matrices and the techniques of inequalities to determine the asymptotically stable region of the equilibrium
通过半群理论、非负矩阵性质和不等式技巧，得到估计这类方程平衡态渐近稳定域的方法。 |
| 2. | 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。 |
| 3. | 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。 |
| 4. | 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。 |
| 5. | The global existence of solution to the initial - boundary value problem of a nonlinear fourth - order wave equation with a damping term and a force source term was proved based on the standard semigroup theory and by introducing a modified energy function
摘要根据半群理论，引进修改的能量函数，证明了具有阻尼项和力源项的四阶波动方程的初边值问题解的整体存在性。 |
| 6. | In this paper , by using the theories of semigroups as basis and using the generalized solution space as a inportant tool , we investigate the abstract cauchy problem and the fc - times integrated abstract cauchy problem and their relationships between fc - times integrated c - semigroups
许多作者在这些方面确实也取得了丰富的研究成果本文把研究抽象cauchy问题时通常讨论的banach空间扩大到frech ? t空间，主要以广义解空间为工具，以半群理论为基础。 |
| 7. | In this thesis , the solution of kolmogorov backward differential equations in birth and death process theory has been proved to be well - posedness by using the theories and methods of linear operator co semigroup in functional analysis . and the existence of superior eigenvalue of the coefficient matrix of the equations has been studied by using the theories of positive operator and conjugate operator
论文主要用泛函分析中的线性算子c _ 0半群理论研究生灭过程理论中柯尔莫哥洛夫向后微分方程组解的适定性，及用正算子和共轭算子的理论和一些结论研究了该方程组系数矩阵算子的占优本征值的存在性问题。 |
