M544 | ALL | Tba

M544-M545 Ordinary Differential Equations I-II (3-3 cr.) P: M413-M414 or consent of instructor. Existence, uniqueness, continuous dependence; linear systems, stability theory, Floquet theory; periodic solutions of nonlinear equations; Poincare-Bendixson theory, direct stability methods; almost periodic motions; spectral theory of nonsingular and singular self-adjoint boundary-value problems; two- dimensional autonomous systems; the saddle-point property; linear systems with isolated singularities.