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. Applications from
mechanics, physics, and biology are included, and exercises, which range
from routine to demanding, are dispersed throughout the text.