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m次积分半群和相应柯西问题的强解 被引量:1

m-times integrated semigroups and the strong solution of abstract cauchy problem
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摘要 研究主算子为m次积分半群的无穷小生成元的一类线性非齐次发展方程强解存在的两个充要条件及判定强解存在的充分条件。最后 ,给出一个实例来验证本文的抽象结果。 In this paper, we introduce the strong solution of lnear differential equation whose principal operator is the infinitesimal generator of an m-times integrated semigroup and give two sufficient necessary conditions and a judgeing theorem. Then, we give an example to illustrate ourresults.
作者 龙飞
出处 《贵州教育学院学报》 2001年第4期1-4,共4页 Journal of Guizhou Educational College(Social Science Edition)
关键词 m次积分半群 无穷小生成元 强解 存在性 柯西问题 m-times integrated semigroup infinitesimal generator strong solution existence
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参考文献5

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同被引文献9

  • 1陈文忠.C-无穷小生成元的表示式[J].厦门大学学报(自然科学版),1993,32(2):135-140. 被引量:22
  • 2Wolfgang Arendt.Vector-valued laplace transforms and cauchy problems[J]. Israel Journal of Mathematics . 1987 (3)
  • 3ARENDT W.Resolvent positive operators. Proceedings of the London Mathematical Society . 1987
  • 4ZAIDMANS S.Topics in abstract differential equations. . 1994
  • 5RALPHDELAUBENFELS.Existence families functional calculus and equations. . 1992
  • 6Davies E B,Pang M M H.The Cauchy problem and a generalization of the Hille-Yosida theorem. Proceedings of the London Mathematical Society . 1987
  • 7Pazy A.Semigroups of Linear Operator and Applications to Partial Differential Equations. . 1983
  • 8Hille E,Phillips R S.Functional analysis and semigroups. Amer Math Soc Collog Publ . 1975
  • 9龙飞,项筱玲.m次积分半群的稳定性及相应柯西问题的温和解[J].应用泛函分析学报,2001,3(4):359-365. 被引量:6

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