k-正則函數的兩類邊值問題和Clifford分析中一類邊值問題.pdf

1、Y1091553四1l!師范大學碩士學位論文k正則函數翦兩類邊值問題和Clifibrd分析中一類邊值問題曾偉培薺單匣—翌jl塑攔塑皇蘭墊盟至生薹絲i—ii導教師—絲歪L一班稱皇童專業(yè)名稱一一—_I量—且—塑—堂——一——研究方向一——魚一——煎——一——芷——拶干警它日翹——型!墮生———王———且一Theboundaryvalueproblemfork—regularfunctionandforgeneralizedregularfu

2、nctionvectorsinCliffordanalysisMajor：AppliediXlathematics％Vriter：ZengWeiSupervisor：YangPiwenAbstract：ThecomplexanalysismethodisapowerfultoolstudyingpartialdifferentialequationInthispaper，wemainlystudyabonndaryvalueproble

3、mforahighorderequationinthecomplexplaneandaboundaryvalueproblemincliffordanalysisaboutgeneralizedregularfunctionInthesecondchapter，Wedis—CUSStheRiemannboundaryvalueproblemwfl；hconjugatekregularfunctionInthethirdchapter，w

4、estudytheRiemannboundaryvalueproblemofnon—normaltypeforkregularfunctionandthetheoremsofsolvabili妙oftheproblemareobtainedInthelastchaper，wediscussaclassoflinearandnolinearboundaryvalueproblemwithconjugatevalueandakindofsh

5、iftforaclassofgeneralizedregularfunctionvectorsincliffordAnalysisWiththehelpofofthetheoryofthesungu：arinteKralequationandSchauderfixedpointtheoremweprovetheexistenceandtheuniquenessofsolutionfortheaboveproblemKeywords：kr