欢迎来到天天文库
浏览记录
ID：49264355
大小：580.34 KB
页数：41页
时间：2020-02-28
《一类偏泛函积分微分方程在巴拿赫空间中解的存在性和正则性研究.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、Æ“Ò10530ÆÒ201009011047©aÒO175.12—?a¬ÆØ©˜a•¼È©‡©•§3n<â˜m¥)•35ÚK5ïÄÆž< û•P“"U•Çƶ¡êƆOŽ‰ÆÆƉ;’Ä:êÆïÄ••¼êØ9ÙA^"˜nco›F˜a•¼È©‡©•§3n<â˜m¥)•35ÚK5ïÄÆž< û“6¶9…¡"U•Çƶ¡êƆOŽ‰ÆÆƉ;’Ä:êÆïÄ••¼êØ9ÙA^Æž?OnÆa¬Æǃü‰ ŒÆØ©JFÏ"˜nco›FStudyonexistenceandregularityr
2、esultsofsolutionsforpartialfunctionalintegrodifferentialequationsinBanachspacesCandidatedanWangSupervisorandRankProfessorJiqinDengCollegeSchoolofMathematicsandComputationalScienceProgramPureMathematicsSpecializationFunctionTheoryanditsApplicationDegreeMasterofScie
3、nceUniversityXiangtanUniversityDateApril10th,2013‰ ŒÆÆØ©M5(² ¤JŠ¬§é ©ïĉѕ‡ z‡<Ú8N§þ®3©¥±²(•ªI²" < ¿£ (²{Æ Jd <«ú"Šö¶µFϵcFÆØ©‡¦^ÇÖ ÆØ©Šö )Æk'3!¦^ÆØ©5½§Ó¿Æ3¿•I[k'Ü€½ÅxØ©E
4、<‡Ú>f‡§#NØ© Ú/ " <lj ŒÆŒ±ò ÆØ© ܽܩSN?k'êâ¥?1u¢§Œ±æ^K
5、^#•{ïÄeü‡•¼È©‡©•§…ܯKµ8Rt6、‡c0Œ+á)¤§t0ž,B(t)3«•D(B)D(A)þ´4‚5Žf§8t0§Ñkut()=u(t+)§ùp r0§Ú8Rt7、„1˜Ù)" ©d8Ù8、¤µ1˜Ù§lNþé ïÄóŠ‰Ñ0¶1Ù§‰Ñ ïÄóŠ¤I‡˜®•á¶1nÙ§ïÄþã1˜‡•§)•35ÚK5¶1oÙ§ïÄþã1‡•§·Ý)•3•˜5¶1ÊÙ§‰Ñü‡~f±A^·‚(J¶18Ù§o( ©"'…cµý)Žf¶·Ý)Úî‚)¶•¼È©‡©•§¶•35ÚK5¶c0Œ+"IAbstractInthispaper,byusinganewmethod,weconsiderthefollowingCauchyproblems:8Rt9、u(s)ds+f(t;u);t00t:u0= 2C=C([ r;0];E)where(E;jj)isarealBanachspace,f2C([0;1)C;E),A:D(A)E!Eisthein nitesimalgeneratorofac0-semigrouponE,B(t)fort0isaclosedlinearoperatorwithdomainD(B)D(A),andforeacht0,ut()=u(t+)for r0,and8Rt10、(t;u);t0;0t:u0= 2CwhereA(t)fort0isclosedlinearoperatorwithdensedomainD(A)whichisindependentoft,for0st,B(t;s)isaclosedlinearoperatorwithdomainD(B)D(
6、‡c0Œ+á)¤§t0ž,B(t)3«•D(B)D(A)þ´4‚5Žf§8t0§Ñkut()=u(t+)§ùp r0§Ú8Rt7、„1˜Ù)" ©d8Ù8、¤µ1˜Ù§lNþé ïÄóŠ‰Ñ0¶1Ù§‰Ñ ïÄóŠ¤I‡˜®•á¶1nÙ§ïÄþã1˜‡•§)•35ÚK5¶1oÙ§ïÄþã1‡•§·Ý)•3•˜5¶1ÊÙ§‰Ñü‡~f±A^·‚(J¶18Ù§o( ©"'…cµý)Žf¶·Ý)Úî‚)¶•¼È©‡©•§¶•35ÚK5¶c0Œ+"IAbstractInthispaper,byusinganewmethod,weconsiderthefollowingCauchyproblems:8Rt9、u(s)ds+f(t;u);t00t:u0= 2C=C([ r;0];E)where(E;jj)isarealBanachspace,f2C([0;1)C;E),A:D(A)E!Eisthein nitesimalgeneratorofac0-semigrouponE,B(t)fort0isaclosedlinearoperatorwithdomainD(B)D(A),andforeacht0,ut()=u(t+)for r0,and8Rt10、(t;u);t0;0t:u0= 2CwhereA(t)fort0isclosedlinearoperatorwithdensedomainD(A)whichisindependentoft,for0st,B(t;s)isaclosedlinearoperatorwithdomainD(B)D(
7、„1˜Ù)" ©d8Ù
8、¤µ1˜Ù§lNþé ïÄóŠ‰Ñ0¶1Ù§‰Ñ ïÄóŠ¤I‡˜®•á¶1nÙ§ïÄþã1˜‡•§)•35ÚK5¶1oÙ§ïÄþã1‡•§·Ý)•3•˜5¶1ÊÙ§‰Ñü‡~f±A^·‚(J¶18Ù§o( ©"'…cµý)Žf¶·Ý)Úî‚)¶•¼È©‡©•§¶•35ÚK5¶c0Œ+"IAbstractInthispaper,byusinganewmethod,weconsiderthefollowingCauchyproblems:8Rt9、u(s)ds+f(t;u);t00t:u0= 2C=C([ r;0];E)where(E;jj)isarealBanachspace,f2C([0;1)C;E),A:D(A)E!Eisthein nitesimalgeneratorofac0-semigrouponE,B(t)fort0isaclosedlinearoperatorwithdomainD(B)D(A),andforeacht0,ut()=u(t+)for r0,and8Rt10、(t;u);t0;0t:u0= 2CwhereA(t)fort0isclosedlinearoperatorwithdensedomainD(A)whichisindependentoft,for0st,B(t;s)isaclosedlinearoperatorwithdomainD(B)D(
9、u(s)ds+f(t;u);t00t:u0= 2C=C([ r;0];E)where(E;jj)isarealBanachspace,f2C([0;1)C;E),A:D(A)E!Eisthein nitesimalgeneratorofac0-semigrouponE,B(t)fort0isaclosedlinearoperatorwithdomainD(B)D(A),andforeacht0,ut()=u(t+)for r0,and8Rt10、(t;u);t0;0t:u0= 2CwhereA(t)fort0isclosedlinearoperatorwithdensedomainD(A)whichisindependentoft,for0st,B(t;s)isaclosedlinearoperatorwithdomainD(B)D(
10、(t;u);t0;0t:u0= 2CwhereA(t)fort0isclosedlinearoperatorwithdensedomainD(A)whichisindependentoft,for0st,B(t;s)isaclosedlinearoperatorwithdomainD(B)D(
此文档下载收益归作者所有
