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Difference Equations in Normed Spaces

Stability and Oscillations

1st Edition, Volume 206 - January 8, 2007

Author: Michael Gil

Language: English
Hardback ISBN:
9 7 8 - 0 - 4 4 4 - 5 2 7 1 3 - 4
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 4 6 9 3 5 - 5

Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the ap… Read more

Difference Equations in Normed Spaces

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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