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Banach空间中含临界参数的抽象动力方程的解 被引量:4

THE SOLUTION OF THE ABSTRACT DYNAMIC EQUATION WITH CRITICAL PARAMETER IN BANACH SPACES
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摘要 本文在一般Banach;空间中取值的向量值函数组成的Lebesgue空间中,引进了含第一类和第二类临界参数的抽象动力方程,并且应用算子半群方法给出了其解. In this paper, the concepts of the abstract dynamic equation with first type and second type critical parameter are introduced in a Lebesgue space which consists of functions with vector valued in a general Banach space, and then describe the solution of these equations by virtue of operator semigroup.
作者 喻德坚
出处 《应用数学学报》 CSCD 北大核心 1997年第2期181-186,共6页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金 江西省自然科学基金
关键词 抽象动力方程 临界参数 巴拿赫空间 Abstract dynamic equation, first type critical parameter, second type critical parameter, linear operator semigroup
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参考文献2

  • 1雷鹏,中国科学.A,1988年,9期,897页
  • 2阳名珠,山西大学学报,1983年,4期,92页

同被引文献10

  • 1Beals R. On an Abstract Freatment of Some Forward - backward Problems of Transport and Scattering[ J ]. J Funct Anal, 1979,34:1-20.
  • 2Gohberg I and Krein M G. Systems of Integral Equations on the Half - line with Kernels Depending on the Difference of Arguments[J]. Amer Math Soc Transl Series 2, 1960, 14:217 -287, = Uspehi Mathem. Nauk, 1959, 13(2) :3 -72(Russian).
  • 3雷鹏 阳名珠.一类抽象动力算子的谱[J].中国科学,1988,9:897-908.
  • 4Dunford N and Schwarz J T. Linear Operators Part I :General Theory[M]. Interscience Punblishers, Inc., New York, 1958.
  • 5C V M Von der Mee, Transport Theory in Lp - spaces[J]. Integral Equations and Operator Thory, 1983, 6:405 - 443.
  • 6BEALS R. On an Abstract Freatment of Some Forward - Backward Problems of Transport and Scattering[J]. J. Funct. Anal., 1979,34:1 -20.
  • 7GOHBERG , KREIN M G. Systems of Integral Equations on the Half- Line With Kernels Depending on the Difference of Arguments[J].Amer. Math. Soc. Transl. Series 2, 1960, 14:217-287.
  • 8GOLDSTEIN J A. Semigroups of Liner Operators and Applications [M]. New York:Oxford University Press, 1985.
  • 9HILLE E,PHILLIPS P S.泛函分析与半群(上册)[M].上海科学技术出版社,1964.
  • 10刘小平,喻德坚.一类抽象VOLTERRA型线性积分算子[J].株洲工学院学报,1999,13(5):63-65. 被引量:5

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