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Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions (Applied Mathematical Sciences, 14) by T. Yoshizawa (auth.) is a nonfiction available to read on EtoBox.

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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

Who reads Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions (Applied Mathematical Sciences, 14)?

Author

T. Yoshizawa (auth.)

Publisher

Springer-Verlag New York

Published

1975

Language

EN

ISBN

9781461263760

Category

nonfiction

Subjects

Mathematics, Stem