Asymptotic Properties Of Solutions Of Nonautonomous 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 | : Džumal'din D. Mirzov |
Publisher | : |
Total Pages | : 177 |
Release | : 2004 |
Genre | : Differential equations |
ISBN | : 9788021034297 |
Download Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations Book in PDF, ePub and Kindle
Author | : Dimit?r Ba?nov |
Publisher | : World Scientific |
Total Pages | : 246 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 9810218230 |
Download Impulsive Differential Equations 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 | : |
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 | : 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 | : Lamberto Cesari |
Publisher | : Springer |
Total Pages | : 278 |
Release | : 2013-11-09 |
Genre | : Mathematics |
ISBN | : 3662403684 |
Download Asymptotic Behavior and Stability Problems in Ordinary Differential Equations Book in PDF, ePub and Kindle
In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Author | : |
Publisher | : Academic Publication |
Total Pages | : 309 |
Release | : |
Genre | : |
ISBN | : 9542940092 |
Download Specific Asymptotic Properties of the Solutions of Impulsive Differential Equations. Methods and Applications Book in PDF, ePub and Kindle
Author | : Richard Bellman |
Publisher | : American Mathematical Soc. |
Total Pages | : 99 |
Release | : 1959 |
Genre | : Difference equations |
ISBN | : 0821812351 |
Download Asymptotic Behavior of Solutions of Differential-Difference Equations Book in PDF, ePub and Kindle
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.
Author | : George David Birkhoff |
Publisher | : Legare Street Press |
Total Pages | : 0 |
Release | : 2022-10-27 |
Genre | : History |
ISBN | : 9781019345948 |
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
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