ArticleOpen Access http://dx.doi.org/10.26855/jamc.2018.12.004
Generators of Semigroup and Group
Aloysius Joakim Fernandez
Widya mandira Catholic University, Indonesia
*Corresponding author: Aloysius Joakim Fernandez
165
Published: December 13,2018
Abstract
In the journal we will discuss concepts about semigroups and generators from semigroups, as well as properties related to semigroups. Apart from being shown Hille-Yosida's theorem. Next, the dissipative concept will be introduced. In the end, the concepts of the group and its generator will be discussed, as well as the Stone Theorem.
Keywords
Semigroup, Generator, dissipative, Group
References
[1] A. Batkai, and S. Piazzera. (2005). Semigroups for Delay Equation, A K Peters Ltd, Canada.
[2] A. Pazy. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag. New York.
[3] I. I. Vrabie. (2003). Semigroups and Applications. Elsevier .North Hollan.
[4] K-,J. Engel , and R. Nagel. (2000).One-Parameter Semigroup for Linear Evolution Equations. Springer –Verlag. vol.194, Graduate Text in Mathematics. New York.
Copyright
© 2018 by the author(s).
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How to cite this paper
Generators of Semigroup and Group
How to cite this paper: Aloysius Joakim Fernandez. (2018) Generators of Semigroup and Group. Journal of Applied Mathematics and Computation, 2(12), 568-573.
DOI: http://dx.doi.org/10.26855/jamc.2018.12.004