Method of guiding functions in problems of nonlinear analysis [electronic resource] / Valeri Obukhovskii [and others]
This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of non...
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| Online Access: |
Full Text (via Springer) |
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Heidelberg :
Springer,
©2013.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
2076. |
| Subjects: |
| Summary: | This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for 'pure' mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics. |
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| Physical Description: | 1 online resource (xiii, 177 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783642370700 3642370705 |
| ISSN: | 1617-9692 ; |
| Source of Description, Etc. Note: | Online resource; title from PDF title page (SpringerLink, viewed May 21, 2013) |