Youssef N. Raffoul's Books

Qualitative Theory of Volterra Difference Equations

By: Youssef N. Raffoul

Write a review Read reviews Take a Quiz Solve Book Puzzle

Qualitative Theory of Volterra Difference Equations

By: Youssef N. Raffoul

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations. The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout. This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

333

Publisher

Springer

Published Date

ISBN 10

3319971905

ISBN 13

9783319971902

Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

By: Murat Adıvar,Youssef N. Raffoul

Write a review Read reviews Take a Quiz Solve Book Puzzle

Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

By: Murat Adıvar,Youssef N. Raffoul

Motivated by recent increased activity of research on time scales, the book provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the construction of Lyapunov functionals in analyzing solutions of dynamical systems on time scales. The book is suitable for a graduate course in the format of graduate seminars or as special topics course on dynamical systems. The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

426

Publisher

Springer Nature

Published Date

ISBN 10

3030421171

ISBN 13

9783030421175

Advanced Differential Equations

By: Youssef N. Raffoul

Write a review Read reviews Take a Quiz Solve Book Puzzle

Advanced Differential Equations

By: Youssef N. Raffoul

Advanced Differential Equations provides coverage of high-level topics in ordinary differential equations and dynamical systems. The book delivers difficult material in an accessible manner, utilizing easier, friendlier notations and multiple examples. Sections focus on standard topics such as existence and uniqueness for scalar and systems of differential equations, the dynamics of systems, including stability, with examples and an examination of the eigenvalues of an accompanying linear matrix, as well as coverage of existing literature. From the eigenvalues' approach, to coverage of the Lyapunov direct method, this book readily supports the study of stable and unstable manifolds and bifurcations. Additional sections cover the study of delay differential equations, extending from ordinary differential equations through the extension of Lyapunov functions to Lyapunov functionals. In this final section, the text explores fixed point theory, neutral differential equations, and neutral Volterra integro-differential equations. - Includes content from a class-tested over multiple years with advanced undergraduate and graduate courses - Presents difficult material in an accessible manner by utilizing easier, friendlier notations, multiple examples and thoughtful exercises of increasing difficulty - Provides content that is appropriate for advanced classes up to, and including, a two-semester graduate course in exploring the theory and applications of ordinary differential equations - Requires minimal background in real analysis and differential equations - Offers a partial solutions manual for student study

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

366

Publisher

Academic Press

Published Date

ISBN 10

0323992811

ISBN 13

9780323992817

Difference Equations and Applications

By: Youssef N. Raffoul

Write a review Read reviews Take a Quiz Solve Book Puzzle

Difference Equations and Applications

By: Youssef N. Raffoul

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The book begins with extensive coverage of the calculus of difference equations, including contemporary topics on l_p stability, exponential stability, and parameters that can be used to qualitatively study solutions to non-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 an easy to medium level of difficulty. When finished, students are set up to conduct meaningful research in discrete dynamical systems. In summary, this book is 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. - Provides a class-tested resource used over multiple years with advanced undergraduate and graduate courses - Presents difficult material in an accessible manner by utilizing easy, friendly notations, multiple examples, and thoughtful exercises of increasing difficulty - Requires minimal background in real analysis and differential equations - Covers new and evolving topic areas, such as stability, and offers a partial solutions manual for in book exercises

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

340

Publisher

Elsevier

Published Date

ISBN 10

0443314934

ISBN 13

9780443314933

Applied Mathematics for Scientists and Engineers

By: Youssef N. Raffoul

Write a review Read reviews Take a Quiz Solve Book Puzzle

Applied Mathematics for Scientists and Engineers

By: Youssef N. Raffoul

After many years of teaching graduate courses in applied mathematics, Youssef N. Raffoul saw a need among his students for a book reviewing topics from undergraduate courses to help them recall what they had learned, while his students urged him to publish a brief and approachable book on the topic. Thus, the author used his lecture notes from his graduate course in applied mathematical methods, which comprises three chapters on linear algebra, calculus of variations, and integral equations, to serve as the foundation for this work. These notes have undergone continuous revision. Applied Mathematics for Scientists and Engineers is designed to be used as a graduate textbook for one semester. The five chapters in the book can be used by the instructor to create a one-semester, three-chapter course. The only prerequisites for this self-contained book are a basic understanding of calculus and differential equations. In order to make the book accessible to a broad audience, the author endeavored to strike a balance between rigor and presentation of the most challenging content in a simple format by adopting friendlier, more approachable notations and using numerous examples to clarify complex themes. The hope is both instructors and students will find, in this single volume, a refresher on topics necessary to further their courses and study.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

442

Publisher

CRC Press

Published Date

ISBN 10

1000986357

ISBN 13

9781000986358

Advanced Differential Equations

By: Youssef N. Raffoul

Write a review Read reviews Take a Quiz Solve Book Puzzle

Advanced Differential Equations

By: Youssef N. Raffoul

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

366

Publisher

Academic Press

Published Date

ISBN 10

0323992811

ISBN 13

9780323992817

Book's by Youssef N. Raffoul

Qualitative Theory of Volterra Difference Equations

Qualitative Theory of Volterra Difference Equations

Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

Advanced Differential Equations

Advanced Differential Equations

Difference Equations and Applications

Difference Equations and Applications

Applied Mathematics for Scientists and Engineers

Applied Mathematics for Scientists and Engineers

Advanced Differential Equations

Advanced Differential Equations

Username

Password

Username

Password

Password again

Birthday

Email