Ordinary differential equations
By: Wolfgang Walter ; translated by Russell Thompson.
Series: Graduate texts in mathematics ;; 182.; Readings in mathematics; Graduate texts in mathematics ;; 182.; Graduate texts in mathematics.
Publisher: Springer
Published: 1998
Place of publication: New York
Language: eng
Number of pages: 380
Subjects: Differential equations
Description: Ordinary Differential Equations develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior, and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems, and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis.

Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra.

This text would be an excellent choice for a course for beginning graduate or advanced undergraduate students.
Notes: Includes bibliographical references (p. 367-371) and index.