Weakly Connected Nonlinear Systems: Boundedness and Stability of Motion (Pure and Applied Mathematics, 305, Band 305) - Hardcover

Buch 21 von 70: Chapman & Hall/CRC Pure and Applied Mathematics

Martynyuk, Anatoly; Chernetskaya, Larisa; Martynyuk, Vladislav

 
9781466570863: Weakly Connected Nonlinear Systems: Boundedness and Stability of Motion (Pure and Applied Mathematics, 305, Band 305)
Hardcover
ISBN 10: 1466570865 ISBN 13: 9781466570863
Verlag: Chapman and Hall/CRC, 2012

Inhaltsangabe

Weakly Connected Nonlinear Systems: Boundedness and Stability of Motion provides a systematic study on the boundedness and stability of weakly connected nonlinear systems, covering theory and applications previously unavailable in book form. It contains many essential results needed for carrying out research on nonlinear systems of weakly connected equations.





After supplying the necessary mathematical foundation, the book illustrates recent approaches to studying the boundedness of motion of weakly connected nonlinear systems. The authors consider conditions for asymptotic and uniform stability using the auxiliary vector Lyapunov functions and explore the polystability of the motion of a nonlinear system with a small parameter. Using the generalization of the direct Lyapunov method with the asymptotic method of nonlinear mechanics, they then study the stability of solutions for nonlinear systems with small perturbing forces. They also present fundamental results on the boundedness and stability of systems in Banach spaces with weakly connected subsystems through the generalization of the direct Lyapunov method, using both vector and matrix-valued auxiliary functions.





Designed for researchers and graduate students working on systems with a small parameter, this book will help readers get up to date on the knowledge required to start research in this area.

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Über die Autorin bzw. den Autor

Martynyuk, Anatoly; Chernetskaya, Larisa; Martynyuk, Vladislav

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
1466570865
ISBN 13 
9781466570863
Einband
Gebundene Ausgabe
Anzahl der Seiten
212
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

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Softcover