Difference Equations and Applications - Brossura

Raffoul

Brossura

ISBN 10: 0443314926 ISBN 13: 9780443314926

Casa editrice: Academic Press, 2024

Riassunto

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The textbook deliberately presents difficult material in an accessible manner by utilizing easier, friendlier notations and multiple examples. It includes contemporary topics on l_p stability, exponential stability, and the invention of new variation of parameters that can be used to qualitatively study solutions of non-linear difference equations. The book begins discussing calculus of normal and linear difference equations, including variation of parameters and equations with constant coefficients, before moving on to Z-Transform and it’s various functions, scalings, applications. It covers systems, Lyapunov Functions and stability, a subject rarely covered in competitor titles, before concluding with a comprehensive section on new variation of parameters. Exercises are provided after each section, ranging from easy to a medium level of difficulty, and when finished, students are set up to conduct meaningful research in discrete dynamical systems.

Su questo libro

Informazioni sull?autore

Youssef N. Raffoul holds the rank of Professor and is Graduate Program Director in the Department of Mathematics at the University of Dayton, US.

Prof. Raffoul joined the faculty in 1999. He obtained a B.S. and M.S. from the University of Dayton in mathematics in 1987 and 1989. After receiving his Ph.D. in mathematics from Southern Illinois University at Carbondale in 1996, he joined the faculty of the Mathematics Department at Tougaloo College in Mississippi, where he became the department chair for two years until he came to Dayton. Prof. Raffoul has published extensively in the area of functional differential and difference equations and has won several awards for his research, most recently the Career in Science Award from the Lebanese Government. Prof. Raffoul published four books: Qualitative Theory of Volterra Difference Equations; with Professor Murat Adivar, Stability, Periodicity, and Boundedness in Functional Dynamical Systems on Time Scales; Advanced Differential Equations (Academic Press, 2022); and his fourth book, Applied Mathematics for Scientists and Engineers.

Dalla quarta di copertina

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The textbook deliberately presents difficult material in an accessible manner by utilizing friendly notations and multiple examples. The book begins with extensive coverage of the calculus of difference equations. It includes contemporary topics on l_p stability, exponential stability, and parameters that can be used to qualitatively study solutions to non-linear difference equations. The book begins by discussing the calculus of normal and linear difference equations, including variations of parameters and equations with constant coefficients, before moving on to the Z-Transform and its various functions, scalings, and applications. It covers systems, Lyapunov functions, and stability, a subject rarely covered in competitor titles, before concluding with a comprehensive section on new variations of parameters. Exercises are provided after each section, ranging from easy to a medium level of difficulty, and, when finished, students are set up to conduct meaningful research in discrete dynamical systems. 

In summary, the book appears to be a comprehensive resource that delves into the mathematical theory of difference equations while highlighting their practical applications in various dynamic systems. It is highly likely to be of interest to students, researchers, and professionals in fields where discrete modeling and analysis are essential.

Dettagli dell?edizione

• Editore: Academic Press
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 0443314926
• ISBN 13: 9780443314926
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 338
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile