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
- ISBN10 0080469353
- ISBN13 9780080469355
- Publish Date 14 May 2014 (first published 8 January 2007)
- Publish Status Active
- Publish Country NL
- Imprint Elsevier Science & Technology
- Edition New ed.
- Format eBook
- Pages 379
- Language English