Based on a Brown University course in applied mathematics, this text is designed to prepare readers for the study of differential equations and to show them how to conduct effective literature searches. A rigorous and demanding treatment, it emphasizes nonlinear problems and focuses on specific analytical methods. 1969 edition. Reprint of the Wiley-Interscience, New York, 1969 edition.
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Ordinary Differential Equations by Morris Tenenbaum, Harry Pollard Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.
An Introduction to Ordinary Differential Equations by Earl A. Coddington A thorough, systematic 1st course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.
Ordinary Differential Equations by Edward L. Ince Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.
Ordinary Differential Equations by Richard K. Miller, Anthony N. Michel Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, this self-contained treatment is appropriate for courses in nonlinear system analysis. "A welcome addition." — IEEE Control Systems Magazine. 1982 edition.
Existence Theorems for Ordinary Differential Equations by Francis J. Murray, Kenneth S. Miller This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.
Ordinary Differential Equations in the Complex Domain by Einar Hille Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.
The Qualitative Theory of Ordinary Differential Equations: An Introduction by Fred Brauer, John A. Nohel Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.
