一類由可修，可靠的人與機器構(gòu)成的系統(tǒng)時間依賴解的漸近性質(zhì).pdf

1、碩士研究生學(xué)位論文新疆大學(xué)Y9Dtt63論文題目(中文)：一類由可修，可靠的人與機器構(gòu)成的系統(tǒng)時間依賴解的漸近性質(zhì)論文題目(外文)：AsymptoticPropertyoftheTime—DependentSolutionoftheModelDescribingaRepairable，StandbyHuman＆MachineSystem研究生姓名：徐利光學(xué)科、專業(yè)：基礎(chǔ)數(shù)學(xué)研究方向：泛函分析及排隊論導(dǎo)師姓名職稱：艾尼吾甫爾教授論文答辯日

2、期2006年6月4日學(xué)位授予日期2006年7月日AbstractThisthesisconsistsoftwochaptersThefirstchapterisdividedintotwosectionsInthefirstsection，Weintroducebrieflythehistoryofthereliabilitytheoryandinthesecondsection，weintroducesupplementaryvari

3、abletechniqueandthenputforwardtheproblemsweareconcernedinthispaperThesecondchapterconsistsoftwosectionsInSectionl，firstlywepresentthemathematicalmodeldescribingarepairablestandbyhuman＆machinesystem，nextweconvertthemodeli

4、ntoallabstractCauchyproblembyin—troducingstatespace，operatorsandtheirdomains，lastlyweintroducethemMnresultsobtainedbyourpredecessorsInSection2，westudyasymptoticpropertyofthetimedependentsolutionofthemodelWestudythespectr

5、alpropertiesoftheoperatorcorrespondingtothemodelandobtainthatzeroisaneigenvalueoftheoperatoranditsadjointoperatorwithgeometricmulti—plicityandalgebraicmultiplici妙one，allpointsontheimaginaryaxisexceptforzerobelongtotheres