Multiplicative perturbations of local C-cosine functions

Authors

  • Chung-Cheng KUO Fu Jen Catholic University, Department of Mathematics, New Taipei City, Taiwan 24205, e-mail: 033800@fju.edu.tw
  • Nai-Sher YEH Fu Jen Catholic University, Department of Mathematics, New Taipei City, Taiwan 24205, e-mail: nyeh@math.fju.edu.tw https://orcid.org/0000-0001-9969-8821

DOI:

https://doi.org/10.24193/subbmath.2021.3.13

Keywords:

Local C-cosine function, subgenerator, generator, abstract Cauchy problem.

Abstract

We establish some left and right multiplicative perturbations of a local C-cosine function C(·) on a complex Banach space X with non-densely defined generator, which can be applied to obtain some new additive perturbation results concerning C(·).

Mathematics Subject Classification (2010): 47D60, 47D62.

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Published

2021-09-30

How to Cite

KUO, C.-C., & YEH, N.-S. (2021). Multiplicative perturbations of local C-cosine functions. Studia Universitatis Babeș-Bolyai Mathematica, 66(3), 575–589. https://doi.org/10.24193/subbmath.2021.3.13

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