[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j150334

NORMAL EIGENVALUES IN EVOLUTIONARY PROCESS

Kim, Dohan (Department of Mathematics Seoul National University)
Miyazaki, Rinko (Graduate School of Engineering Shizuoka University)
Naito, Toshiki (The University of Electro-Communications)
Shin, Jong Son (Faculty of Science and Engineering Hosei University)

Publication Information

Journal of the Korean Mathematical Society / v.53, no.4, 2016 , pp. 895-908 More about this Journal

Abstract

Firstly, we establish spectral mapping theorems for normal eigenvalues (due to Browder) of a $C_0$ -semigroup and its generator. Secondly, we discuss relationships between normal eigenvalues of the compact monodromy operator and the generator of the evolution semigroup on $P_{\tau}(X)$ associated with the ${\tau}$ -periodic evolutionary process on a Banach space X, where $P_{\tau}(X)$ stands for the space of all ${\tau}$ -periodic continuous functions mapping ${\mathbb{R}}$ to X.

Keywords

$C_0$ -semigroup; evolution semigroup; monodromy operator; normal eigenvalue; order of pole; ascent;

Citations & Related Records

Reference

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