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Characterization of nonlinearly perturbed semigroups

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Functional Analysis and Related Topics, 1991

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1540))

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References

  1. J. Ball, Strongly continuous semigroups, weak solutions, and the variation of constants formula, Proc. Amer. Math. Soc., 63(1977), 370–373.

    MathSciNet  MATH  Google Scholar 

  2. M. Crandall and T. Liggett, Generation of semigroups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93(1971), 265–298.

    Article  MathSciNet  MATH  Google Scholar 

  3. E. Hille and R. Phillips, Functional Analysis and Semi-Groups, Amer. Math. Soc., Providense, R. I., 1957.

    MATH  Google Scholar 

  4. N. Kenmochi and T. Takahashi, Nonautonomous differential equations in a Banach space, Nonlinear Analysis, TMA, 5(1980), 1109–1121.

    Article  MathSciNet  MATH  Google Scholar 

  5. T. Iwamiya, Global existence of mild solutions to semilinear differential equations in Banach spaces, Hiroshima Math. J. 16(1986), 499–530.

    MathSciNet  MATH  Google Scholar 

  6. R. H. Martin, Jr., Invariant sets for perturbed semigroups of linear operators, Ann. Mat. Pura Appl. 150(1975), 221–239.

    Article  MathSciNet  MATH  Google Scholar 

  7. R. H. Martin, Jr., Nonlinear Operators and Differential Equations in Banach Spaces, Wiley-Interscience, New York, 1976.

    Google Scholar 

  8. R. H. Martin, Jr., S. Oharu, T. Takahashi, Uniqueness of weak solutions of semilinear evolution equations, to appear.

    Google Scholar 

  9. S. Oharu and T. Takahashi, Characterization of nonlinear semigroups associated with semilienar evolution equations, Trans. Amer. Math. Soc., 311(2)(1989), 593–619.

    Article  MathSciNet  MATH  Google Scholar 

  10. S. Oharu, Nonlinear perturbations of analytic semigroups, Semigroup Forum, 42(1991), 127–146.

    Article  MathSciNet  MATH  Google Scholar 

  11. G. Webb, Continuous nonlinear perturbations of linear accretive operators in Banach spaces, J. Func. Anal., 10(1972), 191–203.

    Article  MathSciNet  MATH  Google Scholar 

  12. K. Yosida, A perturbation theorem for semi-groups of linear operators, Proc. Japan Acad., 41(1965), 645–647.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. National Aerospace Laboratory, Chofu, 182, Tokyo

    Toshiyuki Iwamiya & Tadayasu Takahashi

  2. Department of Mathematics, Hiroshima University, 724, Higashi-Hiroshima, Japan

    Shinnosuke Oharu

Authors
  1. Toshiyuki Iwamiya
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  2. Tadayasu Takahashi
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  3. Shinnosuke Oharu
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Editor information

Hikosaburo Komatsu

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© 1993 Springer-Verlag

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Iwamiya, T., Takahashi, T., Oharu, S. (1993). Characterization of nonlinearly perturbed semigroups. In: Komatsu, H. (eds) Functional Analysis and Related Topics, 1991. Lecture Notes in Mathematics, vol 1540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085476

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  • DOI: https://doi.org/10.1007/BFb0085476

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56471-3

  • Online ISBN: 978-3-540-47565-1

  • eBook Packages: Springer Book Archive

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