CLC number: O177
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 0
Clicked: 4297
YU Xin, CHEN Liang. Multiplicative perturbations of C-regularized resolvent families[J]. Journal of Zhejiang University Science A, 2004, 5(5): 528-532.
@article{title="Multiplicative perturbations of C-regularized resolvent families",
author="YU Xin, CHEN Liang",
journal="Journal of Zhejiang University Science A",
volume="5",
number="5",
pages="528-532",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0528"
}
%0 Journal Article
%T Multiplicative perturbations of C-regularized resolvent families
%A YU Xin
%A CHEN Liang
%J Journal of Zhejiang University SCIENCE A
%V 5
%N 5
%P 528-532
%@ 1869-1951
%D 2004
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.0528
TY - JOUR
T1 - Multiplicative perturbations of C-regularized resolvent families
A1 - YU Xin
A1 - CHEN Liang
J0 - Journal of Zhejiang University Science A
VL - 5
IS - 5
SP - 528
EP - 532
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
ER -
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.
[1] Chang, J.C., Shaw, S.Y., 1997. Perturbation theory of abstract Cauchy problems and Volterra equations.Non-linear Anal., Theory,Methods & Appl.,30(6):3521-3528.
[2] Da Prato, G., Iannelli, M., 1980. Linear integro-differential equation in Banach spaces.Rend. Sem. Math. Padova,62:207-219.
[3] Li, F., 2002. Multiplicative Perturbations ofC-Regularized
[4] Resolvent Families and Degenerate Cauchy Problem. Ph.D Dissertation, University of Science and Technology of China, Hefei (in Chinese).
[5] 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).
[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.
Open peer comments: Debate/Discuss/Question/Opinion
<1>