Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions
Title | Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions PDF eBook |
Author | T. Yoshizawa |
Publisher | Springer Science & Business Media |
Pages | 240 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 146126376X |
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.
Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions
Title | Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions PDF eBook |
Author | T. Yoshizawa |
Publisher | |
Pages | 233 |
Release | 1975-01-01 |
Genre | Almost periodic functions |
ISBN | 9783540901129 |
Stability theory and the existence of periodic solutiona nd almost periodic solutions
Title | Stability theory and the existence of periodic solutiona nd almost periodic solutions PDF eBook |
Author | Taro Yoshizawa |
Publisher | |
Pages | 233 |
Release | 1975 |
Genre | |
ISBN |
Optimal Control Theory
Title | Optimal Control Theory PDF eBook |
Author | L.D. Berkovitz |
Publisher | Springer |
Pages | 306 |
Release | 1974-12-02 |
Genre | Mathematics |
ISBN | 9780387901060 |
This book is an introduction to the mathematical theory of optimal control of processes governed by ordinary differential eq- tions. It is intended for students and professionals in mathematics and in areas of application who want a broad, yet relatively deep, concise and coherent introduction to the subject and to its relati- ship with applications. In order to accommodate a range of mathema- cal interests and backgrounds among readers, the material is arranged so that the more advanced mathematical sections can be omitted wi- out loss of continuity. For readers primarily interested in appli- tions a recommended minimum course consists of Chapter I, the sections of Chapters II, III, and IV so recommended in the introductory sec tions of those chapters, and all of Chapter V. The introductory sec tion of each chapter should further guide the individual reader toward material that is of interest to him. A reader who has had a good course in advanced calculus should be able to understand the defini tions and statements of the theorems and should be able to follow a substantial portion of the mathematical development. The entire book can be read by someone familiar with the basic aspects of Lebesque integration and functional analysis. For the reader who wishes to find out more about applications we recommend references [2], [13], [33], [35], and [50], of the Bibliography at the end of the book.
Stability Theory and the Existence of Periodic Solutions
Title | Stability Theory and the Existence of Periodic Solutions PDF eBook |
Author | Tarō Yoshizawa |
Publisher | |
Pages | 233 |
Release | 1975 |
Genre | |
ISBN |
Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions
Title | Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions PDF eBook |
Author | T. Yoshizawa |
Publisher | Springer |
Pages | 233 |
Release | 1975-02-24 |
Genre | Mathematics |
ISBN | 9780387901121 |
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.
Almost Periodic Solutions of Impulsive Differential Equations
Title | Almost Periodic Solutions of Impulsive Differential Equations PDF eBook |
Author | Gani T. Stamov |
Publisher | Springer Science & Business Media |
Pages | 235 |
Release | 2012-03-09 |
Genre | Mathematics |
ISBN | 3642275451 |
In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.