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正则预解算子族的遍历性定理 被引量:1

Ergodic Theorem for Regularized Resolvent Operator Families
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摘要 研究了正则预解算子族的平均遍历性,Abel遍历性和Cesáro遍历性.并给出了后两种遍历性的相互关系和它们的基本性质. The mean ergodicty, Abel-ergodicity and Cesdro-ergodicity for regularized resolvent operator families are investigated. The relationship between the latter two kinds of ergodicity and their basic properties are given.
出处 《上海师范大学学报(自然科学版)》 2003年第4期18-22,共5页 Journal of Shanghai Normal University(Natural Sciences)
基金 上海市教委重点学科基金 高校发展科学基金
关键词 正则预解算子族 平均遍历 Abel遍历 Cesáro遍历 regularized resolvent operator family mean ergodicty Abel-ergodicity Cesaro-ergodicity
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参考文献7

  • 1GOLDSTEIN J A, RADIN C, SHOWALTER R E. Convergence rates of ergodic limits for semigroups and cosine functions[J]. Semigroup Forum, 1978, 6: 89-95.
  • 2LIZAMA C. A Mean Ergodic Theorem for Resolvent Operators[J]. Semigroup Forum, 1993,47: 227-230.
  • 3LIZAMA C. Rularized Solutions for Abstract Volterra Equations[J]. J Math Anal Appl, 2000, 243: 278-292.
  • 4PAZY A. Semigroups of linear Operators and Applications to Partial Differential Equations[M]. Springer, BerlinHeidelberg-New York-Tokyo, 1983.
  • 5PRATO G DA, IANNELLI M. Linear integro differential equation in Banach pace[J]. Rend Sem Math Padora,1980,62: 207-219.
  • 6Pruss J. Evolutionary Integral Equations and Applications[M]. Monogrophs in Mathematics, Birkhauser Verlag,Basel, Boston, Berlin, 1993.
  • 7SANCHEZ J. On perturbation of k-regularized resolvent family[J]. Perprint, 2001.

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