集值映射及其導(dǎo)數(shù)的一個(gè)定理.pdf

1、Y12兒671分類號(hào)：——UDC：——密級(jí)：編號(hào)：理學(xué)碩士學(xué)位論文集值映射及其導(dǎo)數(shù)的一個(gè)定理碩士研究生：指導(dǎo)教師：學(xué)位級(jí)別：學(xué)科、專業(yè)：所在單位：論文提交日期：論文答辯日期：學(xué)位授予單位：李強(qiáng)羅躍生教授理學(xué)碩士應(yīng)用數(shù)學(xué)理學(xué)院2007年6月2007年6月哈爾濱工程大學(xué)哈爾濱丁程大學(xué)碩十學(xué)何論文AbstractNonlinearanalysisisaflourishingfamilywhosepowerofsolvingpracticepr

2、oblembecomemoreprominentTheset—valuedanalysisismainportionofnonlinearanalysis，whichiswidelyappliednotonlyinmuchareasuchasgametheorycontroltheoryandbiologicmathematics，butalsoinmanymathematicdisciplinesliketopologyfunctio

3、nalanalysis，variationalcalculus，approximationtheoryconvexanalysisandnon—smoothanalysis，anddifferentialequationanddifferentialinclusionItsideaandmethodinfiltrateintolotsofresearchofsocialscience，naturalscienceandtechnolog

4、yfieldThesurveyoftheoryandapplicationofsetvaluedanalysisisintheascendantContinuousselectionandcontinuousapproximationtheoryandsetvaluedmappingdifferentialtheoryconstitutemajorpartofsetvaluedanalysisTheformerhasbecomeprim

5、aryinstrumentinmanyareaofmodemmathematics，thelatterholdthebalanceingametheoryandoptimizationtheoryInthispaperatheoremisstudiedthorouglllywhichwasoriginallypublishedontheJournalofMATHEMATICALANALYSISANDAPPLICATIONSandmodi

6、fiedlaterThesearchinthepaperincludesasfollows：FirstlytheabsenceofconditioninoriginaltheoremisfoundAnexampleisputforwardtooverthrowthetheoremAnewexistencetheoremisarrivedaftertheconditionistecomposedSecondlyanotherchoicea