The Kneser property for the abstract Cauchy problem

Hernán R. Henríquez; Genaro Castillo G.

Annales Polonici Mathematici (2003)

  • Volume: 81, Issue: 2, page 167-181
  • ISSN: 0066-2216

Abstract

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We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.

How to cite

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Hernán R. Henríquez, and Genaro Castillo G.. "The Kneser property for the abstract Cauchy problem." Annales Polonici Mathematici 81.2 (2003): 167-181. <http://eudml.org/doc/281124>.

@article{HernánR2003,
abstract = {We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.},
author = {Hernán R. Henríquez, Genaro Castillo G.},
journal = {Annales Polonici Mathematici},
keywords = {semigroup of operators; abstract Cauchy problem; mild solution; Kneser property},
language = {eng},
number = {2},
pages = {167-181},
title = {The Kneser property for the abstract Cauchy problem},
url = {http://eudml.org/doc/281124},
volume = {81},
year = {2003},
}

TY - JOUR
AU - Hernán R. Henríquez
AU - Genaro Castillo G.
TI - The Kneser property for the abstract Cauchy problem
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 2
SP - 167
EP - 181
AB - We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.
LA - eng
KW - semigroup of operators; abstract Cauchy problem; mild solution; Kneser property
UR - http://eudml.org/doc/281124
ER -

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