Asymptotic Properties Of Solutions Of Nonautonomous Ordinary Differential Equations
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Author |
: Ivan Kiguradze |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 343 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9789401118088 |
ISBN-13 |
: 9401118086 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations by : Ivan Kiguradze
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 |
: Džumal'din D. Mirzov |
Publisher |
: |
Total Pages |
: 177 |
Release |
: 2004 |
ISBN-10 |
: 8021034297 |
ISBN-13 |
: 9788021034297 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations by : Džumal'din D. Mirzov
Author |
: Dimit?r Ba?nov |
Publisher |
: World Scientific |
Total Pages |
: 246 |
Release |
: 1995 |
ISBN-10 |
: 9789810218232 |
ISBN-13 |
: 9810218230 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Impulsive Differential Equations by : Dimit?r Ba?nov
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 |
: |
Total Pages |
: 48 |
Release |
: 1908 |
ISBN-10 |
: STANFORD:36105046451709 |
ISBN-13 |
: |
Rating |
: 4/5 (09 Downloads) |
Synopsis Asymptotic Properties of the Solutions of Ordinary Linear Differential Equations Containing a Parameter with Application to Boundary Value and Expansion Problems by : George David Birkhoff
Author |
: Miroslav Bartušek |
Publisher |
: |
Total Pages |
: 104 |
Release |
: 1992 |
ISBN-10 |
: UOM:39015043222085 |
ISBN-13 |
: |
Rating |
: 4/5 (85 Downloads) |
Synopsis Asymptotic Properties of Oscillatory Solutions of Differential Equations of the N-th Order by : Miroslav Bartušek
Author |
: G. Sansone |
Publisher |
: Elsevier |
Total Pages |
: 553 |
Release |
: 2016-06-06 |
ISBN-10 |
: 9781483135960 |
ISBN-13 |
: 1483135969 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Non-Linear Differential Equations by : G. Sansone
International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
Author |
: |
Publisher |
: Academic Publication |
Total Pages |
: 309 |
Release |
: |
ISBN-10 |
: 9789542940098 |
ISBN-13 |
: 9542940092 |
Rating |
: 4/5 (98 Downloads) |
Synopsis Specific Asymptotic Properties of the Solutions of Impulsive Differential Equations. Methods and Applications by :
Author |
: Richard Bellman |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 99 |
Release |
: 1959 |
ISBN-10 |
: 9780821812358 |
ISBN-13 |
: 0821812351 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Asymptotic Behavior of Solutions of Differential-Difference Equations by : Richard Bellman
Author |
: Roscoe B White |
Publisher |
: World Scientific |
Total Pages |
: 430 |
Release |
: 2010-08-16 |
ISBN-10 |
: 9781911298595 |
ISBN-13 |
: 1911298593 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Asymptotic Analysis Of Differential Equations (Revised Edition) by : Roscoe B White
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.
Author |
: George David Birkhoff |
Publisher |
: Sagwan Press |
Total Pages |
: 46 |
Release |
: 2015-08-22 |
ISBN-10 |
: 1298995221 |
ISBN-13 |
: 9781298995223 |
Rating |
: 4/5 (21 Downloads) |
Synopsis Asymptotic Properties of the Solutions of Ordinary Linear Differential Equations Containing a Parameter with Application to Boundary Value and Expansion Problems by : George David Birkhoff
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.