Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions (Applied Mathematical Sciences, 14, Band 14) - Softcover

Yoshizawa, T.

 
9780387901121: Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions (Applied Mathematical Sciences, 14, Band 14)
Softcover
ISBN 10: 0387901124 ISBN 13: 9780387901121
Verlag: Springer, 2013

Inhaltsangabe

Since there are several excellent books on stability theory, the author selected some recent topics in stability theory which are related to existence theorems for periodic solutions and for almost periodic solutions. The author hopes that these notes will also serve as an introduction to stability theory. These notes contain stability theory by Liapunov's second method and somewhat extended discussion of stability properties in almost periodic systems, and the existence of a periodic solution in a periodic system is discussed in connection with the boundedness of solutions, and the existence of an almost periodic solution in an almost periodic system is considered in con­ nection with some stability property of a bounded solution. In the theory of almost periodic systems, one has to consider almost periodic functions depending on parameters, but most of text books on almost periodic functions do not contain this case. Therefore, as mathemati­ cal preliminaries, the first chapter is intended to provide a guide for some properties of almost periodic functions with parameters as well as for properties of asymptotically almost periodic functions. These notes originate from a seminar on stability theory given by the author at the Mathematics Department of Michigan State Univer­ sity during the academic year 1972-1973. The author is very grateful to Professor Pui-Kei Wong and members of the Department for their warm hospitality and many helpful conversations. The author wishes to thank Mrs.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
0387901124
ISBN 13 
9780387901121
Einband
Taschenbuch
Anzahl der Seiten
244
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9783540901129: Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  3540901124 ISBN 13:  9783540901129
Verlag: Springer Berlin, 1975
Softcover