Regularity of Difference Equations on Banach Spaces [electronic resource] / by Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama.
Contributor(s): Cuevas, Claudio [author.] | Lizama, Carlos [author.] | SpringerLink (Online service)Material type: TextPublisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XV, 208 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319064475Subject(s): Mathematics | Difference equations | Functional equations | Discrete mathematics | Mathematics | Difference and Functional Equations | Discrete MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 515.625 | 515.75 LOC classification: QA431Online resources: Click here to access online
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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.
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 semigroup 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.