On the Spectrum of Some Functional Differential Equations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2000

AUTHORS

Toshiki Naito , Nguyen Van Minh , Jong Son Shin

ABSTRACT

The main result(Theorem 2) is that a left half plane is contained in the residual spectrum of the generator of a solution semigroup of evolution equations with infinite delay on the phase space of some continuous functions. As a result, the half plane is contained in the essential spectrum of the generator, and the growth bound of the semigroup is bounded below by the constant which is independent of the equation but depends on the phase space. More... »

PAGES

222-228

Book

TITLE

Semigroups of Operators: Theory and Applications

ISBN

978-3-0348-9558-3
978-3-0348-8417-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-0348-8417-4_23

DOI

http://dx.doi.org/10.1007/978-3-0348-8417-4_23

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1004218528


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