Difference Equations in Normed Spaces
Stability and Oscillations
By (author) Michael Gil
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Difference Equations in Normed Spaces by Michael Gil
Book DescriptionDifference 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
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Book DetailsISBN: 9780444527134
(240mm x 165mm x 21mm)
Imprint: Elsevier Science Ltd
Publisher: Elsevier Science & Technology
Publish Date: 8-Jan-2007
Country of Publication: United Kingdom
Books By Author Michael Gil
Localization and Perturbation of Zeros of Entire Functions, Hardback (November 2009)
Presents a systematic exposition of bounds for the zeros of entire functions. This text offers a different approach to the investigation of entire functions based on estimates for the resolvents of compact operators. It covers the well-known results of the Hadamard theorem, the Jensen inequality, the Ostrowski inequalities and the Hurwitz theorem.
Norm Estimations for Operator Valued Functions and Their Applications, Hardback (August 1995)» View all books by Michael Gil
Suitable for specialists in functional analysis and stability theory, this work presents an exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. It demonstrates the author's own approach to spectrum perturbations.
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