Boundary Value Problems On Time Scales Volume I PDF Books

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Boundary Value Problems On Time Scales Volume Ii

Boundary Value Problems On Time Scales Volume I
Author: Svetlin G. Georgiev
Publisher: CRC Press
ISBN: 1000429903
Size: 71.56 MB
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Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a 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 for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for 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 of research. 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, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes 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 of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. 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.
Boundary Value Problems on Time Scales, Volume II
Language: en
Pages: 459
Authors: Svetlin G. Georgiev, Khaled Zennir
Categories: Mathematics
Type: BOOK - Published: 2021-10-12 - Publisher: CRC Press
Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook
Boundary Value Problems on Time Scales, Volume I
Language: en
Pages: 692
Authors: Svetlin G. Georgiev, Khaled Zennir
Categories: Mathematics
Type: BOOK - Published: 2021-10-15 - Publisher: CRC Press
Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook
Boundary Value Problems on Time Scales, Volume II
Language: en
Pages: 457
Authors: Svetlin G. Georgiev, Khaled Zennir
Categories: Mathematics
Type: BOOK - Published: 2021-10-15 - Publisher: CRC Press
Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook
Dynamic Geometry on Time Scales
Language: en
Pages: 400
Authors: Svetlin G. Georgiev
Categories: Mathematics
Type: BOOK - Published: 2021-11-04 - Publisher: CRC Press
This book introduces plane curves on time scales. They are deducted the Frenet equations for plane and space curves. In the book is presented the basic theory of surfaces on time scales. They are defined tangent plane, \sigma_1 and \sigma_2 tangent planes, normal, \sigma_1 and \sigma_2 normals to a surface.
Boundary Value Problems on Time Scales, Volume II
Language: en
Pages: 450
Authors: SVETLIN. GEORGIEV, Khaled Zennir
Categories: Mathematics
Type: BOOK - Published: 2021-09-21 - Publisher: CRC Press
This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the
Separation of Variables and Exact Solutions to Nonlinear PDEs
Language: en
Pages: 401
Authors: Andrei D. Polyanin, Alexei I. Zhurov
Categories: Mathematics
Type: BOOK - Published: 2021-09-20 - Publisher: CRC Press
Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition,
Advances in Dynamic Equations on Time Scales
Language: en
Pages: 348
Authors: Martin Bohner, Allan C. Peterson
Categories: Mathematics
Type: BOOK - Published: 2011-06-28 - Publisher: Springer Science & Business Media
Excellent introductory material on the calculus of time scales and dynamic equations.; Numerous examples and exercises illustrate the diverse application of dynamic equations on time scales.; Unified and systematic exposition of the topics allows good transitions from chapter to chapter.; Contributors include Anderson, M. Bohner, Davis, Dosly, Eloe, Erbe, Guseinov,
Differential and Difference Equations with Applications
Language: en
Pages: 778
Authors: Sandra Pinelas, John R. Graef, Stefan Hilger, Peter Kloeden, Christos Schinas
Categories: Mathematics
Type: BOOK - Published: 2020-10-21 - Publisher: Springer Nature
This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field,
Dynamic Equations on Time Scales
Language: en
Pages: 358
Authors: Martin Bohner, Allan Peterson
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major
Nonoscillation and Oscillation Theory for Functional Differential Equations
Language: en
Pages: 400
Authors: Ravi P. Agarwal, Martin Bohner, Wan-Tong Li
Categories: Mathematics
Type: BOOK - Published: 2004-08-30 - Publisher: CRC Press
This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq