Difference Equations And Their Applications
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Difference Equations And Their Applications
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Author : A.N. Sharkovsky
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-03-31
Difference Equations And Their Applications written by A.N. Sharkovsky 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 1993-03-31 with Mathematics categories.
The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ~ IR. m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness. Those experts, who usually use differential equations and, in fact, believe in their universality, are now discovering a completely new approach which re sembles the theory of ordinary differential equations only slightly. Difference equations, which reflect one of the essential properties of the real world-its discreteness-rightful ly occupy a worthy place in mathematics and its applications. The aim of the present book is to acquaint the reader with some recently discovered and (at first sight) unusual properties of solutions for nonlinear difference equations. These properties enable us to use difference equations in order to model complicated os cillating processes (this can often be done in those cases when it is difficult to apply ordinary differential equations). Difference equations are also a useful tool of syn ergetics- an emerging science concerned with the study of ordered structures. The application of these equations opens up new approaches in solving one of the central problems of modern science-the problem of turbulence.
Difference Equations And Their Applications
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Author : A. N. Sharkovsky
language : en
Publisher:
Release Date : 2014-01-15
Difference Equations And Their Applications written by A. N. Sharkovsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Forward Backward Stochastic Differential Equations And Their Applications
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Author : Jin Ma
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-06-21
Forward Backward Stochastic Differential Equations And Their Applications written by Jin Ma 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 1999-06-21 with Business & Economics categories.
This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the "Four Step Scheme", and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.
Applications Of Lie Groups To Difference Equations
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Author : Vladimir Dorodnitsyn
language : en
Publisher: CRC Press
Release Date : 2010-12-01
Applications Of Lie Groups To Difference Equations written by Vladimir Dorodnitsyn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-01 with Mathematics categories.
Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods
Difference Equations Discrete Dynamical Systems And Applications
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Author : Sorin Olaru
language : en
Publisher: Springer Nature
Release Date : 2024-03-01
Difference Equations Discrete Dynamical Systems And Applications written by Sorin Olaru and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-01 with Mathematics categories.
This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupélec, Université Paris-Saclay, France, under the auspices of the International Society of Difference Equations (ISDE), July 18–22, 2022. The book aims not only to disseminate these results but to foster further advances in the fields of difference equations and discrete dynamical systems. Also included are applications to economic growth modeling, population dynamics, epidemic modeling, game theory, control systems, and network analysis. The target audience for the book includes Ph.D. students, researchers, educators, and practitioners in these fields.
New Trends In The Applications Of Differential Equations In Sciences
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Author : Angela Slavova
language : en
Publisher: Springer Nature
Release Date : 2023-03-17
New Trends In The Applications Of Differential Equations In Sciences written by Angela Slavova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-17 with Mathematics categories.
This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17–20, 2022. The works are devoted to many applications of differential equations in different fields of science. A number of phenomena in nature (physics, chemistry, biology) and in society (economics) result in problems leading to the study of linear and nonlinear differential equations, stochastic equations, statistics, analysis, numerical analysis, optimization, and more. The main topics are presented in the five parts of the book - applications in mathematical physics, mathematical biology, financial mathematics, neuroscience, and fractional analysis. In this volume, the reader will find a wide range of problems concerning recent achievements in both theoretical and applied mathematics. The main goal is to promote the exchange of new ideas and research between scientists, who develop and study differential equations, and researchers, who apply them for solving real-life problems. The book promotes basic research in mathematics leading to new methods and techniques useful for applications of differential equations. The NTADES 2022 conference was organized in cooperation with the Society of Industrial and Applied Mathematics (SIAM), the major international organization for Industrial and Applied Mathematics and for the promotion of interdisciplinary collaboration between applied mathematics and science, engineering, finance, and neuroscience.
Theory Of Difference Equations Numerical Methods And Applications
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Author : V. Lakshmikantham
language : en
Publisher: CRC Press
Release Date : 2002-06-12
Theory Of Difference Equations Numerical Methods And Applications written by V. Lakshmikantham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-12 with Mathematics categories.
"Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."
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 With Public Health Applications
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Author : Lemuel A. Moyé
language : en
Publisher: CRC Press
Release Date : 2000-09-22
Difference Equations With Public Health Applications written by Lemuel A. Moyé and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-22 with Mathematics categories.
This study of difference equations with public health applications develops the methodology for the solution of the general kth order linear difference equation using the generating function approach. It includes an examination of the dynamics of disease spread and containment in populations using illness-death models. There are over 1000 featured mathematical expressions.
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.