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1、©aÒ:O175:08—?:úmп¾:ü“è:10424ÆØ©Aaš‚5¯KŒ)5/,ÅžÆ?Oµa¬Æ;’¶¡µÄ:êÆ•“6¶µwŒ…¡µBÇìÀ‰EŒÆ"˜˜coØ©K8µAaš‚5¯KŒ)5Šö6¶µ/,ÅÆžmµ2008c9;’¶¡µÄ:êÆïÄ••µ‡©•§†ÄåXÚ•P“µwŒ…¡µBÇØ©Jžmµ2011c4Ø©‰Fžmµ2011c4ǃƞmµTHEEXISTENCEOFSOLUTIONSTOSOMEKINDSOFNONLINEARPROBLEMADissertationsubmittedinful l
2、lmentoftherequirementsofthedegreeofMASTEROFSCIENCEfromShandongUniversityofScienceandTechnologybyTangXingdongSupervisor:associateprofessorCuiYujunCollegeofInformationScience&engineeringMay2011(² <¥‰ìÀ‰EŒÆùŸa¬ÆØ©§Ø¤ë•©zÚ•¤ú@©z§ Ü´ <3“•eïĤJ"TØ©]ÿvk¥uÙ§?ÛÆâÅ'‰•½"a¬)¶µFϵAFF
3、IRMATIONIdeclarethatthisdissertation,submittedinful llmentoftherequire-mentsfortheawardofMasterofScienceinShandongUniversityofScienceandTechnology,iswhollymyownworkunlessreferencedofacknowledge.Thedocumenthasnotbeensubmittedforquali cationatanyotheracademicinstitute.Signature:Date
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11、^˜‡í2Leggett-Williams½n§˜a©ê ‡©•§>Š¯K–n‡)•35"'…cµÈ©•§§‡©•§§ØÄ:•ê§>Š¯KìÀ‰EŒÆa¬ÆØ©AbstractABSTRACTDi erentialequationsandintegralequationsaretwoveryimportantandcloselylinkedbranchesofcalculus.
12、Di erentialequationsplayanimportantroleinmanydisciplines,sothestudyofdi erentialequationsolutionseemstobeveryimportant.Butitisdiculttoconsidersolutionsofsomekindofdi erentialequationsdirectly,weneedtransformdi erentialequationsintocorrespondingintegralequationsandconsiderintegral
13、equationsusingthe xedpointtheory.Thispapermainlystudiedtheexistenceofsolutionstosomekindsofdi erentialequations,andthe xedpointtoakindofintegralequationsystem.Thispapercontains vechapter:The rstchapteristheintroductionofthispaper.Itmainlyintroducestheback-groundandsomebasicmethodo
14、fthispaper.Inchaptertwo,applying
