Asymptotic Properties Of Ordinary Differential Equations PDF Download
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Author | : Ivan Kiguradze |
Publisher | : Springer Science & Business Media |
Total Pages | : 343 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401118086 |
Download Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations Book in PDF, ePub and Kindle
This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations.
Author | : George David Birkhoff |
Publisher | : |
Total Pages | : 48 |
Release | : 1908 |
Genre | : Differential equations, Linear |
ISBN | : |
Download Asymptotic Properties of the Solutions of Ordinary Linear Differential Equations Containing a Parameter with Application to Boundary Value and Expansion Problems Book in PDF, ePub and Kindle
Author | : Walter Rawleigh Pyper |
Publisher | : |
Total Pages | : 84 |
Release | : 1970 |
Genre | : Differential equations |
ISBN | : |
Download Asymptotic Properties of Ordinary Differential Equations Book in PDF, ePub and Kindle
Author | : Drumi D Bainov |
Publisher | : World Scientific |
Total Pages | : 246 |
Release | : 1995-03-29 |
Genre | : Mathematics |
ISBN | : 9814501883 |
Download Impulsive Differential Equations: Asymptotic Properties Of The Solutions Book in PDF, ePub and Kindle
The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones.The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book will satisfy the growing interest in the problems related to the asymptotic properties of the solutions of impulsive differential equations and their applications.
Author | : George David Birkhoff |
Publisher | : Sagwan Press |
Total Pages | : 46 |
Release | : 2015-08-22 |
Genre | : |
ISBN | : 9781298995223 |
Download Asymptotic Properties of the Solutions of Ordinary Linear Differential Equations Containing a Parameter with Application to Boundary Value and Expansion Problems Book in PDF, ePub and Kindle
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author | : Frederick John Scott |
Publisher | : |
Total Pages | : 200 |
Release | : 1974 |
Genre | : Asymptotic expansions |
ISBN | : |
Download Partial Asymptotic Properties for Nonlinear Ordinary Differential Equations Book in PDF, ePub and Kindle
Author | : Miroslav Bartušek |
Publisher | : |
Total Pages | : 104 |
Release | : 1992 |
Genre | : Differential equations |
ISBN | : |
Download Asymptotic Properties of Oscillatory Solutions of Differential Equations of the N-th Order Book in PDF, ePub and Kindle
Author | : Leonid Berezansky |
Publisher | : CRC Press |
Total Pages | : 615 |
Release | : 2020-05-18 |
Genre | : Mathematics |
ISBN | : 1000048551 |
Download Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations Book in PDF, ePub and Kindle
Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical processes leads to mathematical models with second order delay differential equations. Stability and stabilization of second order delay equations are one of the main goals of this book. The book is based on the authors’ results in the last decade. Features: Stability, oscillatory and asymptotic properties of solutions are studied in correlation with each other. The first systematic description of stability methods based on the Bohl-Perron theorem. Simple and explicit exponential stability tests. In this book, various types of functional differential equations are considered: second and higher orders delay differential equations with measurable coefficients and delays, integro-differential equations, neutral equations, and operator equations. Oscillation/nonoscillation, existence of unbounded solutions, instability, special asymptotic behavior, positivity, exponential stability and stabilization of functional differential equations are studied. New methods for the study of exponential stability are proposed. Noted among them inlcude the W-transform (right regularization), a priory estimation of solutions, maximum principles, differential and integral inequalities, matrix inequality method, and reduction to a system of equations. The book can be used by applied mathematicians and as a basis for a course on stability of functional differential equations for graduate students.
Author | : George David Birkhoff |
Publisher | : Nabu Press |
Total Pages | : 46 |
Release | : 2014-01-08 |
Genre | : |
ISBN | : 9781293478608 |
Download Asymptotic Properties of the Solutions of Ordinary Linear Differential Equations Containing a Parameter with Application to Boundary Value and Expansi Book in PDF, ePub and Kindle
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Asymptotic Properties Of The Solutions Of Ordinary Linear Differential Equations Containing A Parameter With Application To Boundary Value And Expansion Problems George David Birkhoff Press of the New era printing company, 1908 Mathematics; Differential Equations; Differential equations, Linear; Mathematics / Differential Equations
Author | : White Roscoe B |
Publisher | : World Scientific |
Total Pages | : 432 |
Release | : 2010-08-16 |
Genre | : Mathematics |
ISBN | : 1911298593 |
Download Asymptotic Analysis Of Differential Equations (Revised Edition) Book in PDF, ePub and Kindle
The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another. The construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic properties, and to give derivations of some of the important identities satisfied by them. The emphasis is on the various techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.