course
Math 5101: Ordinary Differential Equations
Existence and Uniqueness of solutions of Scalar ODE’s, Existence Theorems for System of Differential Equations, Fixed Point Methods and Integral Equations, Linear Homogeneous Systems, Inhomogeneous Linear Systems, Asymptotic Behavior.
Text Books:
M. Rama Mohana Rao, Ordinary differential equations. Theory and applications. With a foreword by V. Lakshmikantham. Affiliated East-West Press Pvt. Ltd., New Delhi, 1980.
Sideris, Thomas C. Ordinary differential equations and dynamical systems. Atlantis Studies in Differential Equations, 2. Atlantis Press, Paris, 2013. xii+225 pp.