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ID：52317116
大小：6.61 MB
页数：38页
时间：2020-03-26
《一类非线性分数阶微分方程边值问题的研究.pdf》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。
1、©aÒ:—?:UDC:?Ò:ÆØ©˜aš‚5©ê ‡©•§>Š¯KïÄofu•“6¶:4ŸèÇàó’ŒÆžÆ?O:a¬Æ‰!;’¶¡:A^êÆØ©Jžm:2011c11Ø©‰Fžm:2011c12Æǃü:àó’ŒÆ‰F”¬ÌR:µ <:2011c12DissertationSubmittedtoHebeiUniversityofTechnologyforTheMasterDegreeofScienceinAppliedMathematicsRESEARCHONTHEBOUNDARYVA
2、LUEPROBLEMFORACLASSOFNONLINEARFRACTIONALDIFFERENTIALEQUATIONbyLiZihuaSupervisor:Prof.LiuHuizhaoDecember2011àó’ŒÆa¬ÆØ©˜aš‚5©ê ‡©•§>Š¯KïÄÁ‡ ©?ØXe/ªš‚5©ê ‡©•§ÛÉ>Š¯K)•35:83、Riemann Liouville©ê ‡©,f:[0;1]B!R+,B=(0;1)R÷vCaratheodory^‡,…f3u=0?ÛÉ.3dÄ:þ,?˜ÚïÄXeš‚5©ê ‡©•§ÛÉ>Š¯K)•35:84、=0?ÛÉ.'…i:©ê ‡©•§)ØÄ:½n>Š¯Ki˜aš‚5©ê ‡©•§>Š¯KïÄRESEARCHONTHEBOUNDARYVALUEPROBLEMFORACLASSOFNONLINEARFRACTIONALDIFFERENTIALEQUATIONABSTRACTInthisthesis,weinvestigatetheexistenceofpositivesolutionsforfollow-ingthesingularboundaryvalueproblemsofnonlinearfract5、ionaldi erentialequation.86、sis,wefurtherresearchtheexistenceofpositivesolutionsforfollowingthesingularboundaryvalueproblemsofnonlinearfractionaldi erentialequation.87、]B!R+,B=(0;1)RsatisfyCaratheodorycondition,andfissingularonu=0.KEYWORDS:Fractionaldi erentialequationPositivesolutionFixed-pointtheoremBoundaryvalueproblemiiàó’ŒÆa¬ÆØ©8¹¥©Á‡........................................................................i=©Á‡...8、.....................................................................iiÎÒ`².......................................................................iv1˜ÙXØ................................................
3、Riemann Liouville©ê ‡©,f:[0;1]B!R+,B=(0;1)R÷vCaratheodory^‡,…f3u=0?ÛÉ.3dÄ:þ,?˜ÚïÄXeš‚5©ê ‡©•§ÛÉ>Š¯K)•35:84、=0?ÛÉ.'…i:©ê ‡©•§)ØÄ:½n>Š¯Ki˜aš‚5©ê ‡©•§>Š¯KïÄRESEARCHONTHEBOUNDARYVALUEPROBLEMFORACLASSOFNONLINEARFRACTIONALDIFFERENTIALEQUATIONABSTRACTInthisthesis,weinvestigatetheexistenceofpositivesolutionsforfollow-ingthesingularboundaryvalueproblemsofnonlinearfract5、ionaldi erentialequation.86、sis,wefurtherresearchtheexistenceofpositivesolutionsforfollowingthesingularboundaryvalueproblemsofnonlinearfractionaldi erentialequation.87、]B!R+,B=(0;1)RsatisfyCaratheodorycondition,andfissingularonu=0.KEYWORDS:Fractionaldi erentialequationPositivesolutionFixed-pointtheoremBoundaryvalueproblemiiàó’ŒÆa¬ÆØ©8¹¥©Á‡........................................................................i=©Á‡...8、.....................................................................iiÎÒ`².......................................................................iv1˜ÙXØ................................................
4、=0?ÛÉ.'…i:©ê ‡©•§)ØÄ:½n>Š¯Ki˜aš‚5©ê ‡©•§>Š¯KïÄRESEARCHONTHEBOUNDARYVALUEPROBLEMFORACLASSOFNONLINEARFRACTIONALDIFFERENTIALEQUATIONABSTRACTInthisthesis,weinvestigatetheexistenceofpositivesolutionsforfollow-ingthesingularboundaryvalueproblemsofnonlinearfract
5、ionaldi erentialequation.86、sis,wefurtherresearchtheexistenceofpositivesolutionsforfollowingthesingularboundaryvalueproblemsofnonlinearfractionaldi erentialequation.87、]B!R+,B=(0;1)RsatisfyCaratheodorycondition,andfissingularonu=0.KEYWORDS:Fractionaldi erentialequationPositivesolutionFixed-pointtheoremBoundaryvalueproblemiiàó’ŒÆa¬ÆØ©8¹¥©Á‡........................................................................i=©Á‡...8、.....................................................................iiÎÒ`².......................................................................iv1˜ÙXØ................................................
6、sis,wefurtherresearchtheexistenceofpositivesolutionsforfollowingthesingularboundaryvalueproblemsofnonlinearfractionaldi erentialequation.87、]B!R+,B=(0;1)RsatisfyCaratheodorycondition,andfissingularonu=0.KEYWORDS:Fractionaldi erentialequationPositivesolutionFixed-pointtheoremBoundaryvalueproblemiiàó’ŒÆa¬ÆØ©8¹¥©Á‡........................................................................i=©Á‡...8、.....................................................................iiÎÒ`².......................................................................iv1˜ÙXØ................................................
7、]B!R+,B=(0;1)RsatisfyCaratheodorycondition,andfissingularonu=0.KEYWORDS:Fractionaldi erentialequationPositivesolutionFixed-pointtheoremBoundaryvalueproblemiiàó’ŒÆa¬ÆØ©8¹¥©Á‡........................................................................i=©Á‡...
8、.....................................................................iiÎÒ`².......................................................................iv1˜ÙXØ................................................
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