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Differential And Difference Equations With Applications


Differential And Difference Equations With Applications
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Difference And Differential Equations With Applications In Queueing Theory


Difference And Differential Equations With Applications In Queueing Theory
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Author : Aliakbar Montazer Haghighi
language : en
Publisher: John Wiley & Sons
Release Date : 2013-07-10

Difference And Differential Equations With Applications In Queueing Theory written by Aliakbar Montazer Haghighi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-10 with Technology & Engineering categories.


A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations. The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, Difference and Differential Equations with Applications in Queueing Theory provides: A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models Applications in queue models whose solutions require differential difference equations and generating function methods Exercises at the end of each chapter along with select answers The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.



Differential And Difference Equations With Applications


Differential And Difference Equations With Applications
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Author : Sandra Pinelas
language : en
Publisher: Springer Nature
Release Date : 2020-10-21

Differential And Difference Equations With Applications written by Sandra Pinelas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-21 with Mathematics categories.


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, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.



Differential And Difference Equations With Applications


Differential And Difference Equations With Applications
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Author : Sandra Pinelas
language : en
Publisher: Springer
Release Date : 2018-05-08

Differential And Difference Equations With Applications written by Sandra Pinelas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-08 with Mathematics categories.


This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017. The editors have compiled the strongest research presented at the conference, providing readers with valuable insights into new trends in the field, as well as applications and high-level survey results. The goal of the ICDDEA was to promote fruitful collaborations between researchers in the fields of differential and difference equations. All areas of differential and difference equations are represented, with a special emphasis on applications.



Difference Equations


Difference Equations
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Author : Walter G. Kelley
language : en
Publisher: Academic Press
Release Date : 2001

Difference Equations written by Walter G. Kelley and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises



Differential And Difference Equations With Applications


Differential And Difference Equations With Applications
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Author : Sandra Pinelas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-21

Differential And Difference Equations With Applications written by Sandra Pinelas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-21 with Mathematics categories.


The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.



Theory And Applications Of Differential And Difference Equations


Theory And Applications Of Differential And Difference Equations
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Author : Adalynn West
language : en
Publisher: Clanrye International
Release Date : 2023-09-26

Theory And Applications Of Differential And Difference Equations written by Adalynn West and has been published by Clanrye International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-26 with Mathematics categories.


A differential equation is an equation in which an equality is expressed in terms of a function of one or more independent variables and derivatives of the function with respect to one or more of those independent variables. These equations play a prominent role in signal and system analysis because they describe the dynamic behavior of continuous-time (CT) physical systems. There are several applications of differential equations in different fields such as applied mathematics, science and engineering. The equation in which an equality is expressed in terms of a function of one or more independent variables and finite differences of the function is referred to as a difference equation. Differential and difference equations, both are essential for signal and system analysis because they can explain the dynamic behavior of discrete-time (DT) systems. Different approaches, evaluations, methodologies, and advanced studies on differential and difference equations have been included in this book. Its extensive content will provide the students of advanced mathematics with a thorough understanding of the subject.



Difference Equations Second Edition


Difference Equations Second Edition
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Author : R Mickens
language : en
Publisher: CRC Press
Release Date : 1991-01-01

Difference Equations Second Edition written by R Mickens and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Mathematics categories.


In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.



Proceedings Of The Conference On Differential Difference Equations And Applications


Proceedings Of The Conference On Differential Difference Equations And Applications
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Author : Ravi P. Agarwal
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2006

Proceedings Of The Conference On Differential Difference Equations And Applications written by Ravi P. Agarwal and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Difference equations categories.




An Introduction To Difference Equations


An Introduction To Difference Equations
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Author : Saber Elaydi
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-15

An Introduction To Difference Equations written by Saber Elaydi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-15 with Mathematics categories.


In contemplating the third edition, I have had multiple objectives to achieve. The ?rst and foremost important objective is to maintain the - cessibility and readability of the book to a broad readership with varying mathematical backgrounds and sophistication. More proofs, more graphs, more explanations, and more applications are provided in this edition. The second objective is to update the contents of the book so that the reader stays abreast of new developments in this vital area of mathematics. Recent results on local and global stability of one-dimensional maps are included in Chapters 1, 4, and Appendices A and C. An extension of the Hartman–Grobman Theorem to noninvertible maps is stated in Appendix D. A whole new section on various notions of the asymptoticity of solutions and a recent extension of Perron’s Second Theorem are added to Chapter 8. In Appendix E a detailed proof of the Levin–May Theorem is presented. In Chapters 4 and 5, the reader will ?nd the latest results on the larval– pupal–adult ?our beetle model. The third and ?nal objective is to better serve the broad readership of this book by including most, but certainly not all, of the research areas in di?erence equations. As more work is being published in the Journal of Di?erence Equations and Applications and elsewhere, it became apparent that a whole chapter needed to be dedicated to this enterprise. With the prodding and encouragement of Gerry Ladas, the new Chapter 5 was born.



Advances In Differential And Difference Equations With Applications 2020


Advances In Differential And Difference Equations With Applications 2020
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Author : Dumitru Baleanu
language : en
Publisher:
Release Date : 2020

Advances In Differential And Difference Equations With Applications 2020 written by Dumitru Baleanu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.


It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.