Ordinary Differential Equations in Banach Spaces
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596 Klaus Deimling
Ordinary Differential Equations in Banach Spaces
Springer-Verlag Berlin. Heidelberg New York 1977
Author Klaus Deimling Fachbereich 17 der G e s a m t h o c h s c h u l e Warburger Stra6e 100 D - 4 7 9 0 Paderborn
Library of Congress Cataloging in Publication Data
Deimling, K l a u s , 1953Ordina¢7 differential equations in Banaeh s p a c e s . (~ecture notes in mathematics ; 596) Bibliography: p. Includes index. i. Differential equations. 2. Nanach spaces. I. Title. II. Series: Lecture notes in mathematics
( ~ r ~ i n ) ; 5%.
q,&3.I28 no. 5£6 [~&372] 510'.8s [53-5'352] 77-22408
AMS Subject Classifications (1970): 34 G 05, 34 F 05, 47 H 10, 47 H 15, 60J80, 65J05 ISBN 3-540-08260-3 Springer-Verlag Berlin - Heidelberg • New York ISBN 0-387-08260-3 Springer-Verlag New York • Heidelberg • Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Vertag Berlin • Heidelberg 197? Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140-543210
Preface
These
notes
represent
one-semester
at the U n i v e r s i t y less
recent
analysis
an e x p a n d e d
graduate
level
of K i e l
connections
without
and w i t h m a i n
emphasis
in 1975
between
assuming
version
course
of m a t e r i a l
on d i f f e r e r e n t i a l . The
aim has
differential
too many
been
systems
for a held
to s h o w m o r e
equations
prerequisites
on c o u n t a b l e
prepared equations
from
or
and f u n c t i o n a l both
of o r d i n a r y
fields
,
differential
equations. In the m a i n tions least
reference
not
troversy do we
in the
§ 4
The
further Having
informed and
finished
(UCLA)
Martin
has
that been
by Frof.
M.
§ 6 - ~ 7 overlap
Finally,
I want
eliminated in the
and
Prof.
A.
[113]
to send me
Kwapisz
(Gdansk)
on c o u n t a b l e
in s e v e r a l Jan
mistakes, Dold
Notes
book
for
Pr~
that with
was
the
with
who read
the p o s s i b i l i t y
existence Naturally,
the
Brigitte
by Prof.
Hereafter,
[113]
and
entire for
and
Klaus
, resand
the m a n u s -
the m a n u s c r i p t
Deimlin@ April
book
§ 2 - § 5
manuscript
to p u b l i s h
R.
Prof.
of the
[199]
typinz
to
we w e r e
series.
Paderborn,
A (i)
as a g u i d e
in the b e i n ~
systems.
con-
result.
in R e m a r k
informed
a copy.
or at
no r e f e r e n c e
of a c e r t a i n
been
Results
or n e w
to p r e v e n t
is m e n t i o n e d
about
topics
my wife
chapter,
a l s o be u n d e r s t o o d
§ 1 - ~ 7 we h a v e
GeneraliZa-
trivial
In o r d e r
place
uncertainty
§ 8 sho
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