This text surveys fundamental and general existence theorems as well as uniqueness theorems and Picard iterants, applying them to properties of solutions and linear differential equations. A basic knowledge of real function theory — and for certain results, of elementary functions of a complex variable — is assumed. 1954 edition. Reprint of the edition published by the New York University Press, New York, 1954.
Here's a sample of other books in this Dover category
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.
Dynamic Programming by Richard Bellman Introduction to mathematical theory of multistage decision processes takes a "functional equation" approach. Topics include existence and uniqueness theorems, optimal inventory equation, bottleneck problems, multistage games, Markovian decision processes and more. 1957 edition.
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.
