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Wednesday, July 29, 2020 | History

2 edition of Introduction to qualitative theory of differential equations found in the catalog.

Introduction to qualitative theory of differential equations

J. Plante

Introduction to qualitative theory of differential equations

by J. Plante

  • 292 Want to read
  • 39 Currently reading

Published by Univ. of N.C. at Chapel Hill. Dept. of Mathematics in Chapel Hill, N.C .
Written in English

    Subjects:
  • Differential equations.

  • Edition Notes

    Bibliography: p. 70.

    StatementJ. Plante.
    SeriesCarolina lecture series
    The Physical Object
    Pagination70 p. :
    Number of Pages70
    ID Numbers
    Open LibraryOL22140138M

    The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. — American Mathematical MonthlyThis highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra.

    For over years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook following topics are particularly emphasised:• existence.

    This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results /5(3). From the reviews:"Qualitative Theory of Planar Differential Systems is a graduate-level introduction to systems of polynomial autonomous differential equations in two real variables. This text treats the basic results of the qualitative theory with competence and clarity. the material of the text is well-integrated and readily.


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Introduction to qualitative theory of differential equations by J. Plante Download PDF EPUB FB2

The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is highly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers, mathematicians, and by:   This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations.

It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear by:   Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations.

"This is a very good book with many well-chosen examples and illustrations." — American Mathematical MonthlyThis highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations.

It is accessible to any student of physical sciences, mathematics or engineering who has a good. By studying these particular differential systems we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the infinity.

The behavior of their solutions, their parametric stability or instability and their bifurcations are described. This text, now in its second edition, presents the basic theory of ordinary differential equations and relates the topological theory used in differential equations to advanced applications in chemistry and biology.

It provides new motivations for studying extension theorems and existence theorems, supplies real-world examples, gives an early introduction to the use of geometric. This book provides an introduction to and a comprehensive study of the qualitative theory of ordinary differential begins with fundamental theorems on existence, uniqueness, and initial conditions, and discusses basic principles in dynamical systems and Poincare-Bendixson theory.

The foundations of the qualitative theory of differential equations were laid at the end of the 19th century by H. Poincaré (see,) and A.M. Lyapunov (see,). Poincaré made extensive use of geometric methods, regarding the solutions of systems of differential equations as curves in an appropriate space.

learn some qualitative theory of differential equations. To whom is this book written. This book is written for upper level undergraduates (second undergradu-ate course in ODEs) and beginning graduate students.

To be more specific, Chapters 1–7 are for upper level undergraduate students, where the ba-sic qualitative properties concerning. Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems.

"A rigorous and lively introduction." — The American Mathematical Monthly. edition. The Qualitative Theory of Ordinary Differential Equations. The Qualitative Theory of Ordinary Differential Equations; an Introduction Brauer, Fred and John A.

Nohel Published by W. Benjamin, New York, New York (). This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations.

It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in Cited by: 8. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve.

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear : Jane Cronin.

Download Introduction To Theory Of Ordinary Differential Equation books, This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations.

Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been. The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathematics) - Kindle edition by Brauer, Fred, Nohel, John A. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books /5(6). This graduate textbook offers an introduction to the spectral theory of ordinary differential equations and Sturm-Liouville theory.

It covers both the right and left-definite theory, inverse scattering theory, inverse spectral theory, Camassa-Holm equation. Full background is provided. used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ).

Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven. The Qualitative Theory of Ordinary Differential Equations book. Read reviews from world’s largest community for readers.

Superb, self-contained graduate- /5(9). Subject: Mathematics Paper: Ordinary Differential Equations and Special Functions Principal Investigator: Prof. ar. The book is highly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers, mathematicians, and physicists.

Keywords Poincaré map bifurcation, bifurcation diagram compactification periodic solutions qualitative theory.In mathematics, the qualitative theory of differential equations studies the behavior of differential equations by means other than finding their solutions. It originated from the works of Henri Poincaré and Aleksandr are relatively few differential equations that can be solved explicitly, but using tools from analysis and topology, one can "solve" them in the qualitative .Additional Physical Format: Online version: Plante, J.

Introduction to qualitative theory of differential equations. Chapel Hill, N.C.: Univ. of N.C. at Chapel Hill.