Nonlinear Ordinary Differential Equations - Couverture rigide

Grimshaw, R.

Couverture rigide

ISBN 10 : 0632027096 ISBN 13 : 9780632027095

Editeur : CRC Press, 1991

Synopsis

Volume I provides a comprehensive account of the mathematical study and self-contained analysis of vibration and damping in systems governed by partial differential equations. It presents partial differential equations techniques for the mathematical study of this subject. A special objective of establishing the stability theory to treat many distributed vibration models containing damping is discussed. The book presents the theory and methods of functional analysis, energy identities, and strongly continuous and holomorphic semigroups. Many mechanical designs provide concrete examples of damping devices. Numerical examples also confirm the strong agreements between the theoretical estimates and numerical computations of damping rates of eigenmodes.

A propos du livre

Présentation de l'éditeur

Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated.
Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.

Détails de l'édition

• Éditeur: CRC Press
• Date d'édition: 1991
• Langue: anglais
• ISBN 10: 0632027096
• ISBN 13: 9780632027095
• Reliure: Relié
• Nombre de pages: 336
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible