Global Properties Of Linear Ordinary Differential Equations
Download Global Properties Of Linear Ordinary Differential Equations full books in PDF, epub, and Kindle. Read online free Global Properties Of Linear Ordinary Differential Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Global Properties of Linear Ordinary Differential Equations
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 320 |
Release | : 1991 |
Genre | : Electronic Book |
ISBN | : 8020004238 |
Download Global Properties of Linear Ordinary Differential Equations Book in PDF, Epub and Kindle
Global Properties of Linear Ordinary Differential Equations
Author | : Frantisek Neuman |
Publsiher | : Springer |
Total Pages | : 344 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : UOM:39015029206920 |
Download Global Properties of Linear Ordinary Differential Equations Book in PDF, Epub and Kindle
This volume presents an authoritative, unified overview of the methods and results concerning the global properties of linear differential equations of order n (n>=2). It does not, however, seek to be comprehensive. Rather, it contains a selection of results which richly illustrate the unified approach presented. By making use of recent methods and results from many different areas of mathematics and by introducing several original methods, global solutions of problems previously studied only locally are given. The structure of global transformations is described algebraically, and a new geometrical approach is introduced which leads to global canonical forms suitable for Cartan's moving frame-of-reference method. The theory discussed also provides effective tools for solving some open problems, especially relating to the distribution of zeros of solutions. In addition, the theory of functional equations plays an important role in studying the asymptotic behaviour of solutions. Applications to differential geometry and functional equations are also described. The volume is largely self-contained. This book is for mathematicians, computer scientists, physicists, chemists, engineers, and others whose work involves the use of linear differential equations.
Introduction to Ordinary Differential Equations
Author | : Albert L. Rabenstein |
Publsiher | : Academic Press |
Total Pages | : 444 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 9781483226224 |
Download Introduction to Ordinary Differential Equations Book in PDF, Epub and Kindle
Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
Basic Topological Structures of Ordinary Differential Equations
Author | : V.V. Filippov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 536 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9789401708418 |
Download Basic Topological Structures of Ordinary Differential Equations Book in PDF, Epub and Kindle
The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters. This allows us to develop cheaply a theory which deals easily with equations having singularities and with equations with multivalued right hand sides (differential inclusions). An explicit description of corresponding topological structures expands the theory in the case of equations with continuous right hand sides also. In reality, this is a new science where Ordinary Differential Equations, General Topology, Integration theory and Functional Analysis meet. In what concerns equations with discontinuities and differential inclu sions, we do not restrict the consideration to the Cauchy problem, but we show how to develop an advanced theory whose volume is commensurable with the volume of the existing theory of Ordinary Differential Equations. The level of the account rises in the book step by step from second year student to working scientist.
Existence Theory for Nonlinear Ordinary Differential Equations
Author | : Donal O'Regan |
Publsiher | : Springer Science & Business Media |
Total Pages | : 207 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9789401715171 |
Download Existence Theory for Nonlinear Ordinary Differential Equations Book in PDF, Epub and Kindle
We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t,y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existence theorems which guarantee that a solution to (1. 1) exists for t > 0 and near zero. Familiar examples show that the interval of existence can be arbi trarily short, depending on the initial value r and the nonlinear behaviour of I. As a result we will also examine in section 3. 2 the dependence of the interval of existence on I and r. We mention in passing that, in the results which follow, the interval I can be replaced by any bounded interval and the initial value can be specified at any point in I. The reasoning needed to cover this slightly more general situation requires minor modifications on the arguments given here.
Ordinary and Partial Differential Equations
Author | : W. N. Everitt,B. D. Sleeman |
Publsiher | : Springer |
Total Pages | : 748 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540395614 |
Download Ordinary and Partial Differential Equations Book in PDF, Epub and Kindle
Handbook of Differential Equations Ordinary Differential Equations
Author | : A. Canada,P. Drabek,A. Fonda |
Publsiher | : Elsevier |
Total Pages | : 709 |
Release | : 2004-09-09 |
Genre | : Mathematics |
ISBN | : 9780080532820 |
Download Handbook of Differential Equations Ordinary Differential Equations Book in PDF, Epub and Kindle
The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.
Recent Trends in Differential Equations
Author | : Ratan Prakash Agarwal |
Publsiher | : World Scientific |
Total Pages | : 604 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 9810209630 |
Download Recent Trends in Differential Equations Book in PDF, Epub and Kindle
This series aims at reporting new developments of a high mathematical standard and of current interest. Each volume in the series shall be devoted to mathematical analysis that has been applied, or potentially applicable to the solutions of scientific, engineering, and social problems. The first volume of WSSIAA contains 42 research articles on differential equations by leading mathematicians from all over the world. This volume has been dedicated to V Lakshmikantham on his 65th birthday for his significant contributions in the field of differential equations.