期刊文献+

C-伪预解式的逼近 被引量:2

Approximation of C-pesudoresolvents
在线阅读 下载PDF
导出
摘要 引入了C-伪预解式的概念,并讨论了它的一些性质及收敛性,最后给出了C-伪预解式收敛的一个充分条件. In this paper,Defination of C-pesudoresolvents is introduced,and its properties and convergence are discussed. At last, a sufficicent condition of convergence of C-pesudoresolvents is given.
出处 《纯粹数学与应用数学》 CSCD 北大核心 2006年第1期69-75,共7页 Pure and Applied Mathematics
基金 陕西省教育厅专项科研基金项目(01JK063)
关键词 C-伪预解式 LAPLACE变换 收敛性 C-pesudoresolvents, Laplace transforms, convergence
  • 相关文献

参考文献6

  • 1Mel'nikova I V,Filinkov A I.Abstract Cauchy problems:three approaches[M].Nwe York:Chapman & Hall,CRC,1999.
  • 2Mel'nikova I V,Alshanskii M A.Well-posedness of a degenerate Cauchy problem vonvergence in a Banach space[J].Russian Acad Sci.Dokl.Math.,1994,49(3):449-459.
  • 3Mel'nikova I V,Anufrieva V A,Ushkov V Yu.Degenerate distribution semigroups and well-sosedness of the Cauchy problem[J].Integral Transform and Special Functions,1998,6:247-256.
  • 4张亮,方全蕾.退化正则半群[J].应用泛函分析学报,2003,5(2):178-182. 被引量:2
  • 5Arendt W.Approximation of degenerate semgroups[J].Taiwan Residents J.Math.,2001,5(2):279-295.
  • 6Hille E,Pillips R S.Functional Analysis and Smigroups[M].Rhode Island:Amer.Math.Soc.,1957.

二级参考文献9

  • 1Favini A, Yagi A. Multivalued linear operators and degenerate evolution equations[J]. Ann Mat Pura Appl, 1993, 163(4): 353--384.
  • 2Knuckles C, Neubrander F. Remarks on the Cauchy problem for multi-valued linear operators[J]. Math Res, 1994, 82: 174--187.
  • 3Yagi A. Generation theorem of semigroup for multivalued linear operators[J]. Osaka J Math, 1991, 28:385--410.
  • 4Thieme H R. "Integrated semigroups" and integrated solutions to abstract Cauchy problems[J]. J Math Annl Appl, 1990, 152(2): 416--447.
  • 5Mel' nikova I V, Filinkov A I. Abstract Cauchy Problems : Three Approaches[M]. Chapman & Hall,CRC, 1999.
  • 6Mel' nikova I V, Alshanskii M A. Well-posedness of a degenerate Cauchy problem im a Banach space[J]. Russian Acad Sci Dokl Math, 1994, 49(3): 449--459.
  • 7Mel'nikova I V, Anufrieva U A, Ushkov V Yu. Degenerate distribution semigroups and well-posedness of the Cauchy problem[J]. Integral Transform and Special Functions, 1998, 6: 247--256.
  • 8Arendt W. Vector-valued Laplace transforms and Cauchy problems[J]. Israel J Math, 1987, 59: 327--352.
  • 9郑权.算子半群对非椭圆微分算子的应用[J].科学通报,2000,45(1):2-10. 被引量:1

共引文献1

同被引文献9

  • 1M. Voicu. Pseudo - resolvents on locally conex spaces [ J ]. Rend. Circ. Matem. Palermo ( 2 ) Suppl. no, 2005,76 : 655 - 665.
  • 2A. S. Awan, M. Voicu. Approximation of Pseudoresolvents [J].Mediterranean Journal of Mathematics, 2009,6 : 73 - 86.
  • 3夏道行,杨亚立.线性拓扑空间引论[M].上海科学技术出版社,1986.
  • 4A Pazy. Semigroups of Linear Operators and Application to Partial Differential Equations [ M ]. New York : Spring - Ver- lag, 1983.
  • 5K. Yosida. Functional Analysis [ M ]. Spinger - Verlag, Ber- lin, 1980.
  • 6Voicu M. Pseudo resolvents on locally covex spaces [ J ]. Rend. Circ. Matem. Palermo ( 2 ) Suppl. 2005,76 : 655 - 665.
  • 7Awan A S, Voicu M. Approximation of pseudoresolvents [ J ]. Mediterranean Journal of Mathematics ,2009,6:73 - 86.
  • 8Pazy A. Semigroups of linear operators and application to partial differential equations [ M ]. New York : Spring - Ver - lag, 1983.
  • 9杨延涛,常胜伟,赵华新.局部凸Hausdorff空间上的C-伪预解式[J].延安大学学报(自然科学版),2012,31(3):42-44. 被引量:1

引证文献2

二级引证文献1

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