Asymptotic Behavior And Stability Problems In Ordinary Differential Equations
Download Asymptotic Behavior And Stability Problems In Ordinary Differential Equations full books in PDF, epub, and Kindle. Read online free Asymptotic Behavior And Stability Problems In Ordinary Differential Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Lamberto Cesari |
Publisher |
: Springer |
Total Pages |
: 278 |
Release |
: 2013-11-09 |
ISBN-10 |
: 9783662403686 |
ISBN-13 |
: 3662403684 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Asymptotic Behavior and Stability Problems in Ordinary Differential Equations by : Lamberto Cesari
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 |
: Matthaeus Merian |
Publisher |
: |
Total Pages |
: |
Release |
: 1963 |
ISBN-10 |
: OCLC:219552817 |
ISBN-13 |
: |
Rating |
: 4/5 (17 Downloads) |
Synopsis Asymptotic Behavior and Stability Problems in Ordinary Differential Equations by : Matthaeus Merian
Author |
: Thomas Guy Hallam |
Publisher |
: |
Total Pages |
: 126 |
Release |
: 1965 |
ISBN-10 |
: OCLC:9610150 |
ISBN-13 |
: |
Rating |
: 4/5 (50 Downloads) |
Synopsis Asymptotic Behavior and Stability Problems in Ordinary Differential Equations by : Thomas Guy Hallam
Author |
: Lamberto Cesari |
Publisher |
: |
Total Pages |
: 271 |
Release |
: 1959 |
ISBN-10 |
: OCLC:872413433 |
ISBN-13 |
: |
Rating |
: 4/5 (33 Downloads) |
Synopsis Asymptotic behavior and stability problems in ordinary differential equations by : Lamberto Cesari
Author |
: Lamberto Cesari |
Publisher |
: |
Total Pages |
: |
Release |
: 1971 |
ISBN-10 |
: OCLC:878089575 |
ISBN-13 |
: |
Rating |
: 4/5 (75 Downloads) |
Synopsis Asymptotic Behaviour and Stability Problems in Ordinary Differential Equations by : Lamberto Cesari
Author |
: W. A. Coppel |
Publisher |
: |
Total Pages |
: 184 |
Release |
: 1965 |
ISBN-10 |
: STANFORD:36105031262939 |
ISBN-13 |
: |
Rating |
: 4/5 (39 Downloads) |
Synopsis Stability and Asymptotic Behavior of Differential Equations by : W. A. Coppel
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 |
: Carlos Simpson |
Publisher |
: Springer |
Total Pages |
: 144 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540466413 |
ISBN-13 |
: 354046641X |
Rating |
: 4/5 (13 Downloads) |
Synopsis Asymptotic Behavior of Monodromy by : Carlos Simpson
This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's.
Author |
: Wolfgang Walter |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 391 |
Release |
: 2013-03-11 |
ISBN-10 |
: 9781461206019 |
ISBN-13 |
: 1461206014 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Ordinary Differential Equations by : Wolfgang Walter
Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.
Author |
: Richard Bellman |
Publisher |
: Courier Corporation |
Total Pages |
: 178 |
Release |
: 2013-02-20 |
ISBN-10 |
: 9780486150130 |
ISBN-13 |
: 0486150135 |
Rating |
: 4/5 (30 Downloads) |
Synopsis Stability Theory of Differential Equations by : Richard Bellman
Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. The linear equation with constant and almost-constant coefficients receives in-depth attention that includes aspects of matrix theory. No previous acquaintance with the theory is necessary, since author Richard Bellman derives the results in matrix theory from the beginning. In regard to the stability of nonlinear systems, results of the linear theory are used to drive the results of Poincaré and Liapounoff. Professor Bellman then surveys important results concerning the boundedness, stability, and asymptotic behavior of second-order linear differential equations. The final chapters explore significant nonlinear differential equations whose solutions may be completely described in terms of asymptotic behavior. Only real solutions of real equations are considered, and the treatment emphasizes the behavior of these solutions as the independent variable increases without limit.