A characterization of evolution operators

Naoki Tanaka

Studia Mathematica (2001)

  • Volume: 146, Issue: 3, page 285-299
  • ISSN: 0039-3223

Abstract

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A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.

How to cite

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Naoki Tanaka. "A characterization of evolution operators." Studia Mathematica 146.3 (2001): 285-299. <http://eudml.org/doc/284987>.

@article{NaokiTanaka2001,
abstract = {A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.},
author = {Naoki Tanaka},
journal = {Studia Mathematica},
keywords = {evolution operators},
language = {eng},
number = {3},
pages = {285-299},
title = {A characterization of evolution operators},
url = {http://eudml.org/doc/284987},
volume = {146},
year = {2001},
}

TY - JOUR
AU - Naoki Tanaka
TI - A characterization of evolution operators
JO - Studia Mathematica
PY - 2001
VL - 146
IS - 3
SP - 285
EP - 299
AB - A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.
LA - eng
KW - evolution operators
UR - http://eudml.org/doc/284987
ER -

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