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.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9780387901121
eBay Product ID (ePID)
107095279
Product Key Features
Author
T. Yoshizawa
Publication Name
Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
1975
Type
Textbook
Number of Pages
233 Pages
Dimensions
Item Height
254mm
Item Width
178mm
Volume
14
Item Weight
950g
Additional Product Features
Title_Author
T. Yoshizawa
Series Title
Applied Mathematical Sciences
Country/Region of Manufacture
United States
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