可靠性模型的动态分析研究综述  

Research Review on the Dynamic Analysis of Reliability Models

作　　者：艾尼·吾甫尔[1] Geni GUPUR(College of Mathematics and Systems Science,Xinjiang University,Urumqi,Xinjiang,830017,P.R.China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830017

出　　处：《数学进展》2024年第4期690-706,共17页Advances in Mathematics（China）

基　　金：国家自然科学基金(No.11961062)。

摘　　要：首先介绍初值和边界条件不含广义函数的、由有限多个偏微分方程描述的可靠性模型的动态分析方面的研究成果及需要进一步研究的问题,然后介绍初值和边界条件不含广义函数的、由无限多个偏微分方程描述的可靠性模型的动态分析方面的研究成果及需要进一步研究的问题,最后介绍初值和边界条件包含广义函数的可靠性模型的动态分析方面需要进一步研究的问题.First of all,we introduce research results of dynamic analysis of the reliability models which are described by finite partial differential equations without generalized functions on the initial and boundary conditions and put forward some further research problems.Next,we introduce research results of dynamic analysis of the reliability models which are described by infinitely many partial differential equations without generalized functions on the initial and boundary conditions and put forward some further research problems.Lastly,we introduce research problems of dynamic analysis of the reliability models with generalized functions on the initial and boundary conditions.

关 键 词：可靠性模型 算子半群 时间依赖解 谱 渐近性态 

分 类 号：O213.2[理学—概率论与数理统计] O177.2[理学—数学]