Agarwal R.P., Cuevas C., Lizama C. Regularity of Difference Equations on Banach Spaces

Cham: Springer, 2014. — 218 p.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.Discrete Semigroups and Cosine Operators
Maximal Regularity and the Method of Fourier Multipliers
First-Order Linear Difference Equations
First-Order Semilinear Difference Equations
Second-Order Linear Difference Equations
Second-Order Semilinear Difference Equations
Applications