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一类抽象VOLTERRA型线性积分算子 被引量:5

On the Abstract Volterra Linear Integral Operator
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摘要 讨论了一类抽象Volterra型线性积分算子V的一些主要性质。这是抽象动力方程边值问题的积分算子求解法之主要理论基础。 It can be obtained that some kind of abstract Vollerra Integral operators have important properlies, which is the main theoretical basis for integral operator sloving process of the boundary value problem of abstract kinetic equation.
出处 《株洲工学院学报》 1999年第5期63-65,共3页 Journal of Zhuzhou Institute of Technology
基金 江西省自然科学基金
关键词 线性积分算子 Voterra型 谱性质 积分算子 Volterra linear interal operator abstract voterra linear integral operator Linear integral operator
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参考文献1

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同被引文献20

  • 1喻德坚.半空间几何中含参数的抽象动力方程边值问题[J].高校应用数学学报(A辑),1998,13(4):365-370. 被引量:1
  • 2喻德坚.Banach空间中含临界参数的抽象动力方程的解[J].应用数学学报,1997,20(2):181-186. 被引量:4
  • 3Yu Dejian,应用泛函分析学报,2000年,2卷,2期,105页
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  • 6雷鹏 阳名珠.一类抽象动力算子的谱[J].中国科学,1988,9:897-908.
  • 7Dunford N and Schwarz J T. Linear Operators Part I :General Theory[M]. Interscience Punblishers, Inc., New York, 1958.
  • 8C V M Von der Mee, Transport Theory in Lp - spaces[J]. Integral Equations and Operator Thory, 1983, 6:405 - 443.
  • 9BEALS R. On an Abstract Freatment of Some Forward - Backward Problems of Transport and Scattering[J]. J. Funct. Anal., 1979,34:1 -20.
  • 10GOHBERG , 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.

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