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Multiplicative perturbations ofC-regularized resolvent families

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Abstract

This paper presents two new theorems for multiplicative perturbations ofC-regularized resolvent families, which generalize the previous related ones for the resolvent families.

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References

  • Chang, J.C., Shaw, S.Y., 1997. Perturbation theory of abstract Cauchy problems and Volterra equations.Nonlinear Anal., Theory, Methods & Appl.,30(6): 3521–3528.

    Article  MathSciNet  MATH  Google Scholar 

  • Da Prato, G., Iannelli, M., 1980. Linear integro-differential equation in Banach spaces.Rend. Sem. Math. Padova,62: 207–219.

    MathSciNet  MATH  Google Scholar 

  • Li, F., 2002. Multiplicative Perturbations ofC-Regularized Resolvent Families and Degenerate Cauchy Problem. Ph.D Dissertation, University of Science and Technology of China, Hefei (in Chinese).

    Google Scholar 

  • Li, M., 2002. Report on Fractional Times Resolvent Families with Applications to Partial Differential Equations. Postdoctoral Dissertation, Huazhong University of Science and Technology, Wuhan (in Chinese).

    Google Scholar 

  • Lizama, C., 1993. On Volterra equations associated with a linear operator.Proc. Amer. Math. Soc.,118: 1159–1166.

    Article  MathSciNet  MATH  Google Scholar 

  • Lizama, C., 1995. Uniform continuity and compactness for resolvent families of operators.Acta Appl. Math.,38: 131–138.

    Article  MathSciNet  MATH  Google Scholar 

  • Piskarev, S., Shaw, S.Y., 1995. Multiplicative perturbations ofC 0-Semigroups and some applications to step responses and cumulative outputs.J. Funct. Anal.,128: 315–340.

    Article  MathSciNet  MATH  Google Scholar 

  • Prüss, J., 1993. Evolutionary Integral Equations and Applications.In: Monographs in Mathematics Birkhaüser Verlag.

  • Rhandi, A., 1993. Multiplicative perturbations of linear Volterra equations.Proc. Amer. Math. Soc.,119(2): 493–501.

    Article  MathSciNet  MATH  Google Scholar 

  • Xiao, T.J., Liang, J., 2001. Multiplicative perturbations ofC-segularized semigroups.Computers & Math. with Appl.,41: 1215–1221.

    Article  MathSciNet  Google Scholar 

  • Zheng, Q., 1992. Controllability of a class linear systems in banach space.Proc. Amer. Math. Soc.,123: 1241–1251.

    Article  MathSciNet  MATH  Google Scholar 

  • Zheng, Q., Sun, Y., 2000. A generation of regularized resolvent families of operators.Acta Math. Sci.,20: 723–726.

    MATH  Google Scholar 

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Correspondence to Yu Xin.

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Yu, X., Chen, L. Multiplicative perturbations ofC-regularized resolvent families. J. Zheijang Univ.-Sci. 5, 528–532 (2004). https://doi.org/10.1631/jzus.2004.0528

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  • DOI: https://doi.org/10.1631/jzus.2004.0528

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