数学物理学报 ›› 2000, Vol. 20 ›› Issue (4): 480-486.
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(Department of Mathematics,Nanjing University,Nanjiang 210093)
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摘要:
该文引进了广义积分半群的概念,这是积分半群的一个直接推广.定义了它的生成元,讨论了生成定理,并给出了几个例子和应用.
关键词: 广义积分半群, 积分半群, 生成元.
Abstract:
In this paper we difine the concept of general ingegrated semigroup.The generator and genaration of this general integrated semigroup are discussed. Also, some examples and applications are given.
Key words: General integrated semigroup, Integrated semigroup, Generator.
中图分类号:
宋国柱 沈隽皓. 广义积分半群[J]. 数学物理学报, 2000, 20(4): 480-486.
Shen Junhao Song Guozhu. General Integrated Semigroups[J]. Acta mathematica scientia,Series A, 2000, 20(4): 480-486.
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1 GoldsteinJA.Semigroupsoflinearoperatorsandapplications.OzfordUnivPress 2 HilleE,PhillipsRS.Functionalanalysisandsemigroups.AmerMathSocCollogPubl,1975,31 3 ArendtW.Vectorvaluedlaplacetransformandcauchyproblem.IsraelJMath,1987,59:327-352. 4 HieberM.spectraofpesudodifferentialopertorsgeneratingintegratedsemigroups.TransofAmerMathSoc,1995, 10(347):4023-4035. 5 DelaubenfelsR.Existencefamily,functionalcalculiandevolutionequations.LectureNotesin Math,1570,1994. 6 Milorad,MijatovicandStevenPilpovic,αtimesintegrtedsemigroups.JMathAnalAppl,1997,210(2):790-803. 7 ShenJunhao,SongGuozhu.Thelaplacetransformsandintegratedsemigroups.JofNanzingUniv MathBiquarterly, 1997,14(1):13-22 8 IhaFT,SchuberCF.Thespectrumofpertialoperatorsandapplicationstopartialdifferntialequations.SpringerVer lag,1993. 9 H¨ormanderL.Estimatesfortraslationinvariantoperatorsin spaces.ActaMath,1960,104:93-140 10 HieberM.Integratedsemigroupsanddifferentialoperatorson space.MathAnn,1991,291:1-16
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