期刊文献+

α─次积分半群与C─半群的等价性 被引量:4

下载PDF
导出
摘要 对非负实数α,本文讨论了指数有界α─次积分半群与指数有界C─半群的等价性,推广了delaubenfels[1]中的结果。特别地,当α取非负整数时,便为[1]中结果。
作者 黄永忠
机构地区 内江师专数学系
出处 《内江师范学院学报》 1999年第4期5-8,共4页 Journal of Neijiang Normal University
  • 相关文献

参考文献2

二级参考文献8

  • 1A. Holderrieth. Matrix multiplication operators generating one parameter semigroups[J] 1991,Semigroup Forum(1):155~166
  • 2M. M. H. Pang. Resolvent estimates for schr?dinger operators inL P (R N ) and the theory of exponentially boundedC-semigroups[J] 1990,Semigroup Forum(1):97~114
  • 3Tosiharu Takenaka,Noboru Okazawa. Wellposedness of abstract Cauchy problems for second order differential equations[J] 1990,Israel Journal of Mathematics(3):257~288
  • 4Ph. Clément,O. Diekmann,M. Gyllenberg,H. J. A. M. Heijmans,H. R. Thieme. A hille-yosida theorem for a class of weakly continuous semigroups[J] 1989,Semigroup Forum(1):157~178
  • 5M. Munteanu,M. Schwarz. A characterization of generators of positive translation semigroups[J] 1989,Semigroup Forum(1):223~231
  • 6Yu. T. Sil’chenko,P. E. Sobolevskii. Solvability of the Cauchy problem for an evolution equation in a Banach space with a nondensely defined operator coefficient generating a semigroup with a singularity[J] 1986,Siberian Mathematical Journal(4):544~553
  • 7S. G. Krein,M. I. Khazan. Differential equations in a Banach space[J] 1985,Journal of Soviet Mathematics(3):2154~2239
  • 8Frank Neubrander. Well-posedness of abstract Cauchy problems[J] 1984,Semigroup Forum(1):75~85

共引文献18

同被引文献35

  • 1胡敏,宋晓秋,魏巍,张祥之.n次积分C-半群的表示定理[J].山东科技大学学报(自然科学版),2004,23(4):89-91. 被引量:8
  • 2许跟起.积分双半群与抽象动力方程的可解性[J].系统科学与数学,1996,16(3):270-280. 被引量:4
  • 3段峰,孙国正.双连续余弦算子函数及其生成定理[J].安徽工程科技学院学报(自然科学版),2006,21(1):55-60. 被引量:2
  • 4宋晓秋,刘咸卫.C半群的两个结果[J].中国矿业大学学报,1996,25(1):121-126. 被引量:10
  • 5Arendt W.Vector-valued laplace transrorms and cauchy problems[J].Israel J of Math,1987,59:327-352.
  • 6Hieber M.Integrated semigroups and differential operators in Lp spaces[J].Math Ann,1991,291(1):1-16.
  • 7Hieber M.Integrated semigroups and the Cauchy problem for system in Lp spaces[J].Math Anal Appl,1991,162(1):300-308.
  • 8PAZY A.Semigroups of linear operater and application to partial differential equation[M].New York:Berlin Heidelberg Tokyo:Springer2Verlag,1983.
  • 9Tanaka N,Miyadera I.Exponentially bounded C-semigroups and integrated semigroups[J].Tokyo J Math,1989,12:99-115.
  • 10Hieber M.Laplace transforms and α-times integrated semigroups[J].Semesterbericht Functional Analysis,Tubingen,wintersemester 89/90,109-126,Forum Math.1991,3:595-612.

引证文献4

二级引证文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部