Focal Boundary Value Problems For Differential And Difference Equations
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Focal Boundary Value Problems For Differential And Difference Equations
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Author : R.P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Focal Boundary Value Problems For Differential And Difference Equations written by R.P. Agarwal 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 2013-03-09 with Mathematics categories.
The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of applications of boundary value problems for ordinary differential equations. In this vast field of research, the conjugate (Hermite) and the right focal point (Abei) types of problems have received the maximum attention. This is largely due to the fact that these types of problems are basic, in the sense that the methods employed in their study are easily extendable to other types of prob lems. Moreover, the conjugate and the right focal point types of boundary value problems occur frequently in real world problems. In the monograph Boundary Value Problems for Higher Order Differential Equations published in 1986, we addressed the theory of conjugate boundary value problems. At that time the results on right focal point problems were scarce; however, in the last ten years extensive research has been done. In Chapter 1 of the mono graph we offer up-to-date information of this newly developed theory of right focal point boundary value problems. Until twenty years ago Difference Equations were considered as the dis cretizations of the differential equations. Further, it was tacitly taken for granted that the theories of difference and differential equations are parallel. However, striking diversities and wide applications reported in the last two decades have made difference equations one of the major areas of research.
Nonlinear Interpolation And Boundary Value Problems
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Author : Paul W. Eloe
language : en
Publisher: World Scientific
Release Date : 2016
Nonlinear Interpolation And Boundary Value Problems written by Paul W. Eloe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
"This book is devoted to the study of solutions of nonlinear ODE boundary value problems as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families has stimulated 50 years of rapid development in the study of solutions of boundary value problems as nonlinear interpolation problems. The purpose of this book is two-fold. First, the results that have been generated in the past 50 years are collected for the first time to produce a comprehensive and coherent treatment of what is now a well-defined area of study in the qualitative theory of ordinary differential equations. Second, methods and technical tools are sufficiently exposed so that the interested reader can contribute to the study of nonlinear interpolation"--
Boundary Value Problems For Systems Of Differential Difference And Fractional Equations
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Author : Johnny Henderson
language : en
Publisher: Academic Press
Release Date : 2015-10-30
Boundary Value Problems For Systems Of Differential Difference And Fractional Equations written by Johnny Henderson and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-30 with Mathematics categories.
Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions
Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations
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Author : Uri M. Ascher
language : en
Publisher: SIAM
Release Date : 1994-12-01
Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations written by Uri M. Ascher and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-01 with Mathematics categories.
This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Positive Solutions Of Differential Difference And Integral Equations
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Author : R.P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Positive Solutions Of Differential Difference And Integral Equations written by R.P. Agarwal 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 2013-04-17 with Mathematics categories.
In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.
Multiple Solutions Of Boundary Value Problems A Variational Approach
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Author : John R Graef
language : en
Publisher: World Scientific
Release Date : 2015-08-26
Multiple Solutions Of Boundary Value Problems A Variational Approach written by John R Graef and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-26 with Mathematics categories.
Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.
Elementary Differential Equations And Boundary Value Problems
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Author : William E. Boyce
language : en
Publisher: John Wiley & Sons
Release Date : 2021-10-19
Elementary Differential Equations And Boundary Value Problems written by William E. Boyce 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 2021-10-19 with Mathematics categories.
Elementary Differential Equations and Boundary Value Problems, 12th Edition is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. In this revision, new author Douglas Meade focuses on developing students conceptual understanding with new concept questions and worksheets for each chapter. Meade builds upon Boyce and DiPrima’s work to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
Differential Equations With Boundary Value Problems
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Author : Dennis G. Zill
language : en
Publisher: PWS Publishing Company
Release Date : 1989
Differential Equations With Boundary Value Problems written by Dennis G. Zill and has been published by PWS Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Includes solutions to odd-numbered exercises.
Differential Equations
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Author : Saber N. Elaydi
language : en
Publisher: CRC Press
Release Date : 1990-09-28
Differential Equations written by Saber N. Elaydi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-28 with Mathematics categories.
Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June 1989. Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi
Partial Differential Equations And Boundary Value Problems With Applications
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Author : Mark A. Pinsky
language : en
Publisher: New York : McGraw-Hill
Release Date : 1991
Partial Differential Equations And Boundary Value Problems With Applications written by Mark A. Pinsky and has been published by New York : McGraw-Hill this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Written for advanced level courses in Partial Differential Equations (sometimes called Fourier Series or Boundary Value Problems) in departments of Maths, Physics, and Engineering. Both Calculus and Differential Equations are prerequisites for this course. Pinsky's text, while still covering more traditional material in early chapters, de-emphasizes the use of special functions and rigorous proofs while emphasizing the use of Green's function, approximation methods, numerical methods, and asymptotic methods.