Betounes D. Differential Equations: Theory and Applications

2 Edition. — Springer, 2009. — 626 p.This new edition provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way (emphasis on the theory with the computer component as optional) or in a more applied way (emphasis on the applications and the computer material).In this new edition, there are copious amounts of revisions and corrections, especially in the chapters on Linear Systems, Stability Theory, and Hamiltonian Systems.