Linear ordinary differential equations / Earl A. Coddington, Robert Carlson.

Format:

Book

Author/Creator:

Coddington, Earl A., 1920-

Contributor:

Carlson, Robert, 1951-

Society for Industrial and Applied Mathematics.

Language:

English

Subjects (All):

Differential equations.

Physical Description:

1 online resource (xii, 341 p. ) ill. ;

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1997.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.

Contents:

Preface

Chapter 1. Simple applications

Chapter 2. Properties of linear systems

Chapter 3. Constant coefficients

Chapter 4. Periodic coefficients

Chapter 5. Analytic coefficients

Chapter 6. Singular points

Chapter 7. Existence and uniqueness

Chapter 8. Eigenvalue problems

Chapter 9. Eigenfunction expansions

Chapter 10. Control of linear systems

Bibliography.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 333-334) and index.

Title from title screen, viewed 04/05/2011.

ISBN:

1-61197-143-8

Publisher Number:

OT57 SIAM