Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations
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Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations
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Author : Ratan Prakash Agarwal
language : en
Publisher: World Scientific
Release Date : 1993
Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations written by Ratan Prakash Agarwal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.
Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations
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Author : Mansour Samimi
language : en
Publisher:
Release Date : 1991
Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations written by Mansour Samimi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations
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Author : Ravi P. Agarwal
language : en
Publisher:
Release Date : 1993
Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations written by Ravi P. Agarwal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with MATHEMATICS categories.
Uniqueness And Non Uniqueness Criteria For Ordinary Differential Equations
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Author : Stefan Lawrence
language : en
Publisher:
Release Date : 1995
Uniqueness And Non Uniqueness Criteria For Ordinary Differential Equations written by Stefan Lawrence and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Differential equations categories.
Ordinary Differential Equations
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Author : Bhamra
language : en
Publisher: Allied Publishers
Release Date :
Ordinary Differential Equations written by Bhamra and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
A Basic Guide To Uniqueness Problems For Evolutionary Differential Equations
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Author : Mi-Ho Giga
language : en
Publisher: Springer Nature
Release Date : 2023-09-14
A Basic Guide To Uniqueness Problems For Evolutionary Differential Equations written by Mi-Ho Giga and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-14 with Mathematics categories.
This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. This book is intended to be a short introduction to uniqueness questions for initial value problems. One often weakens the notion of a solution to include non-differentiable solutions. Such a solution is called a weak solution. It is easier to find a weak solution, but it is more difficult to establish its uniqueness. This book examines three very fundamental equations: ordinary differential equations, scalar conservation laws, and Hamilton-Jacobi equations. Starting from the standard Gronwall inequality, this book discusses less regular ordinary differential equations. It includes an introduction of advanced topics like the theory of maximal monotone operators as well as what is called DiPerna-Lions theory, which is still an active research area. For conservation laws, the uniqueness of entropy solution, a special (discontinuous) weak solution is explained. For Hamilton-Jacobi equations, several uniqueness results are established for a viscosity solution, a kind of a non-differentiable weak solution. The uniqueness of discontinuous viscosity solution is also discussed. A detailed proof is given for each uniqueness statement. The reader is expected to learn various fundamental ideas and techniques in mathematical analysis for partial differential equations by establishing uniqueness. No prerequisite other than simple calculus and linear algebra is necessary. For the reader’s convenience, a list of basic terminology is given at the end of this book.
Handbook Of Differential Equations Ordinary Differential Equations
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Author : A. Canada
language : en
Publisher: Elsevier
Release Date : 2006-08-21
Handbook Of Differential Equations Ordinary Differential Equations written by A. Canada and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-21 with Mathematics categories.
This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real world applications - Written for mathematicians and scientists of many related fields
Using The Mathematics Literature
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Author : Kristine K. Fowler
language : en
Publisher: CRC Press
Release Date : 2004-05-25
Using The Mathematics Literature written by Kristine K. Fowler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-25 with Language Arts & Disciplines categories.
This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.
Fundamentals Of Partial Differential Equations
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Author : Atul Kumar Razdan
language : en
Publisher: Springer Nature
Release Date : 2022-04-02
Fundamentals Of Partial Differential Equations written by Atul Kumar Razdan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-02 with Mathematics categories.
The book serves as a primary textbook of partial differential equations (PDEs), with due attention to their importance to various physical and engineering phenomena. The book focuses on maintaining a balance between the mathematical expressions used and the significance they hold in the context of some physical problem. The book has wider outreach as it covers topics relevant to many different applications of ordinary differential equations (ODEs), PDEs, Fourier series, integral transforms, and applications. It also discusses applications of analytical and geometric methods to solve some fundamental PDE models of physical phenomena such as transport of mass, momentum, and energy. As far as possible, historical notes are added for most important developments in science and engineering. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering.
Asymptotic Integration And Stability For Ordinary Functional And Discrete Differential Equations Of Fractional Order
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Author : Dumitru Baleanu
language : en
Publisher: World Scientific
Release Date : 2015-01-15
Asymptotic Integration And Stability For Ordinary Functional And Discrete Differential Equations Of Fractional Order written by Dumitru Baleanu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-15 with Mathematics categories.
This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.