Difference Equations in Normed Spaces: Stability and Oscillations: Volume 206 (North-Holland Mathematics Studies, Volume 206) - Hardcover

Gil', M I

Hardcover

ISBN 10: 0444527133 ISBN 13: 9780444527134

Verlag: Butterworth-Heinemann, 2007

Inhaltsangabe

Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results: The freezing method The Liapunov type equation The method of majorants The multiplicative representation of solutions

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Reseña del editor

Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations.

The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results:

• The freezing method
• The Liapunov type equation
• The method of majorants
• The multiplicative representation of solutions

• Deals systematically with difference equations in normed spaces
• Considers new classes of equations that could not be studied in the frameworks of ordinary and partial difference equations
• Develops the freezing method and presents recent results on Volterra discrete equations
• Contains an approach based on the estimates for norms of operator functions

Details zur Ausgabe

• Verlag: Butterworth-Heinemann
• Erscheinungsdatum: 2007
• Sprache: Englisch
• ISBN 10: 0444527133
• ISBN 13: 9780444527134
• Einband: Tapa dura
• Anzahl der Seiten: 380
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Barbara Criscuolo; b.criscuolo@lswr.it; ; Via Spadolini, 7; Milano; 20141; Italien