North-Holland Mathematics Studies
1 primary work • 2 total works
Book 206
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
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
Difference Equations in Normed Spaces: Stability and Oscillations
by Michael Gil'
Published 1 January 2007