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Theory of ordinary differential equations

Author: Earl A Coddington; Norman Levinson
Publisher: Malabar, Fla. : R.E. Krieger, 1984.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable. It has been developed from courses given by the authors and probably contains more material than will ordinarily be covered in a one-year course. It is hoped that the book will be a useful text in the application of differential equations as well as for the pure mathematician.
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Document Type: Book
All Authors / Contributors: Earl A Coddington; Norman Levinson
ISBN: 0898747554 9780898747553
OCLC Number: 10558079
Notes: Reprint. Originally published: New York : McGraw-Hill, 1955. (International series in pure and applied mathematics).
Description: xii, 429 pages ; 24 cm
Contents: Existence and uniqueness of solutions --
Existence and uniqueness of solutions (continued) --
Linear differential equations --
Linear systems with isolated singularities: singularities of the first kind --
Linear systems with isolated singularities: singularities of the second kind --
Asymptotic behavior of linear systems containing a large parameter --
Self-adjoint eigenvalue problems on a finite interval --
Oscillation and comparison theorems for second-order linear equations and applications --
Singular self-adjoint boundary-value problems for second-order equations --
Singular self-adjoint boundary-value problems for nth-order equations --
Algebraic properties of linear boundary-value problems on a finite interval --
Non-self-adjoint boundary-value problems --
Asymptotic behavior of nonlinear systems: stability --
Perturbation of systems having a periodic solution --
Perturbation theory of two-dimensional real autonomous systems --
The Poincaré-Bendixson theory of two-dimensional autonomous systems --
Differential equations on a Torus.
Responsibility: Earl A. Coddington, Norman Levinson.

Abstract:

It is hoped that the book will be a useful text in the application of differential equations as well as for the pure mathematician.  Read more...

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