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- DescriptionSince 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 tes will also serve as an introduction to stability theory. These tes contain stability theory by Liapuv'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 t 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 tes 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.
- Author(s)T. Yoshizawa
- PublisherSpringer-Verlag New York Inc.
- Date of Publication01/02/1975
- SubjectScience & Mathematics: Textbooks & Study Guides
- Series TitleApplied Mathematical Sciences
- Series Part/Volume NumberNo. 14
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight950 g
- Width178 mm
- Height254 mm
- Spine13 mm
- Format DetailsTrade paperback (US)
- Edition StatementSoftcover reprint of the original 1st ed. 1975
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