Jacobi算子特征值的連續(xù)依賴性.pdf

1、天津大學(xué)碩士學(xué)位論文Jacobi算子特征值的連續(xù)依賴性姓名：杜保營申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：史國良20090501AbstractInthispaper，continuousdependenceofeigenvaluestoJacobioperatorswillbeconsideredThepaperismainlydividedintofourchaptersThefirstsectionistheintroducti

2、onofthewholepaperWetalkaboutthebackgroundofthispaper，andmakeplansforthetaskofthispaperThenextsectionisthepreliminaryknowledgeItconsistsofelementarydefinitionsandtheorems，whichwillbeappliedinthefollowsectionsThethirdsecti

3、onisthecontinuousdependenceofeigenvaluestoJacobioperatorsInthissection，wemainlystudythecontinuousdependenceofeigenvaluestosuchJacobioperatorsasfollowwherea(nl1)f(nl2)b(nl1)／(nl1)，n=扎11，(丑k，，n：)(n)=(日，)(n)，n11r$o1(日一，佗。)(

4、扎)：a(no一2)，(訖。一2)“扎。一”，(扎。一1)，扎=扎。1I(日，)(佗)，禮nO一1(Hf)(n)=口(禮一1)f(n一1)b(n)f(n)a(n)f(n1)o(幾))∈P∞(z)。a(n)≠0，佗∈Z6(n)】∈P”(z)，(佗))∈e2(z)Atlast，wesummarizetheresultsofthewholepaperWeexplainthemethodsourcesofthispaper，introducet