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

Martynyuk, Anatoly; Chernetskaya, Larisa; Martynyuk, Vladislav

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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Designed for researchers and graduate students working on systems with a small parameter, this book helps readers get up to date on the knowledge required to start research in this area. It provides a systematic study on the boundedness and stability of weakly connected nonlinear systems, covering theory and applications previously unavailable in book form. The text contains many essential results needed for carrying out research on nonlinear systems of weakly connected equations, including recently developed approaches based on the direct Lyapunov method and the comparison technique.

Details zur Ausgabe

• 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