Regularity of Difference Equations on Banach Spaces

• Main Authors: Agarwal, Ravi P. (Author), Cuevas, Claudio (Author), Lizama, Carlos (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Subjects: Mathematics.; Difference equations.; Functional equations.; Discrete mathematics.; Difference and Functional Equations.; Discrete Mathematics.

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 semigrou...

Table of Contents:

• 1. Discrete Semi groups and Cosine Operators
• 2. Maximal regularity and the method of Fourier Multipliers
• 3. First Order Linear Difference Equations
• 4. First Order Semi linear Difference Equations
• 5. Second Order Linear Difference Equations
• 6. Second Order Semi linear
• 7. Applications.