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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.5 P.528-532

http://doi.org/10.1631/jzus.2004.0528


Multiplicative perturbations of C-regularized resolvent families


Author(s):  YU Xin, CHEN Liang

Affiliation(s):  Department of Mathematics; more

Corresponding email(s):   yuxin@zju.edu.cn

Key Words:  Multiplicative perturbation, Resolvent family, C-regularized resolvent family, Generator


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YU Xin, CHEN Liang. Multiplicative perturbations of C-regularized resolvent families[J]. Journal of Zhejiang University Science A, 2004, 5(5): 528-532.

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author="YU Xin, CHEN Liang",
journal="Journal of Zhejiang University Science A",
volume="5",
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year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0528"
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T1 - Multiplicative perturbations of C-regularized resolvent families
A1 - YU Xin
A1 - CHEN Liang
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.0528


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

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[3] Li, F., 2002. Multiplicative Perturbations ofC-Regularized

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[6] Lizama, C., 1993. On Volterra equations associated with a linear operator.Proc. Amer. Math. Soc.,118:1159-1166.

[7] Lizama, C., 1995. Uniform continuity and compactness for resolvent families of operators.Acta Appl. Math.,38:131-138.

[8] Piskarev, S., Shaw, S.Y., 1995. Multiplicative perturbationsofC0-Semigroups and some applications to step responses and cumulative outputs.J. Funct. Anal.,128:315-340.

[9] Prss, J., 1993. Evolutionary Integral Equations and Applications.In: Monographs in Mathematics. Birkhaser Verlag.

[10] Rhandi, A., 1993. Multiplicative perturbations of linear Volterra equations.Proc. Amer. Math. Soc.,119(2):493-501.

[11] Xiao, T.J., Liang, J., 2001. Multiplicative perturbations of C-segularized semigroups.Computers & Math. with Appl.,41:1215-1221.

[12] Zheng, Q., 1992. Controllability of a class linear systems in banach space.Proc. Amer. Math. soc.,123:1241-1251.

[13] Zheng, Q., Sun, Y., 2000. A generation of regularized resolvent families of operators.Acta Math. Sci.,20:723-726.

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