Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing themost recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used asa textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press.Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems forthree, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding resultsfor difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area ofresearch. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models.The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, woundhealing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulatingprocesses and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety ofsolution techniques.AUTHORSSvetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partialdifferential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation inmathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His researchinterests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.
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This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area.
Preface1. Third Order Boundary Value Problems for Dynamic Equations 2. Boundary Value Problems for Third Order Impulsive Dynamic Equations3. Fourth Order Boundary Value Problems 4. Boundary Value Problems for Fourth Order Impulsive Dynamic Equations5. Higher Order Boundary Value Problems for Dynamic Equations 6. Higher Order Boundary Value Problems for Impulsive DynamicEquations References
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Produktdetaljer

ISBN
9781032008059
Publisert
2021-11-05
Utgiver
Vendor
Chapman & Hall/CRC
Vekt
612 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
UP, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
449

Biographical note

AUTHORS

Svetlin G. Georgiev is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.

Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long time behavior.