Acclaimed by IEEE Control Systems Magazine as "a welcome addition" to books in the field, this self-contained treatment is appropriate for courses in nonlinear system analysis. Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, its highlight is a scholarly treatment of the stability of dynamical systems. 1982 edition. Reprint of the Academic Press, New York, 1982 edition.
Here's a sample of other books in this Dover category
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 Jack K. Hale This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.