This book's coverage of differential equations begins with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations. Discusses the fixed-point theorems of Banach, Brouwer, Browder, Horn, Schauder, and Tychonov and concludes with the basic stability and periodicity theory for nonlinear ordinary and functional differential equations. 1985 edition. Corrected, unabridged republication of the edition published by Academic Press, 1985.
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.
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.
A Second Course in Elementary Differential Equations by Paul Waltman Focusing on applicable rather than applied mathematics, this text is appropriate for advanced undergraduates majoring in any discipline. The author emphasizes basic real analysis as well as differential equations. 1986 edition. Includes 39 figures.
Stability by Fixed Point Theory for Functional Differential Equations by T. A. Burton The first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques, this text is suitable for advanced undergraduates and graduate students. 2006 edition.
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.
