Regularity of Difference Equations on Banach Spaces

✍ Scribed by Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama (auth.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 218
• Edition: 1
• Category: Library

✦ Synopsis

This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal regularity, outlining basic linear difference equations along with relevant results. They address recent advances in the field, as well as basic semi group and cosine operator theories in the discrete setting. The authors also identify some open problems that readers may wish to take up for further research. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.

✦ Table of Contents

Front Matter....Pages i-xv
Discrete Semigroups and Cosine Operators....Pages 1-17
Maximal Regularity and the Method of Fourier Multipliers....Pages 19-45
First-Order Linear Difference Equations....Pages 47-55
First-Order Semilinear Difference Equations....Pages 57-69
Second-Order Linear Difference Equations....Pages 71-97
Second-Order Semilinear Difference Equations....Pages 99-118
Applications....Pages 119-197
Back Matter....Pages 199-208

✦ Subjects

Difference and Functional Equations; Discrete Mathematics