Theory of Ordinary Differential Equations - MAT 641

Existence and Uniqueness Theorems. Linear systems with constant coefficients. Matrix analysis and Matrix Exponential. Stability. Periodic coefficients. Two-Dimensional Autonomous linear and nonlinear systems. Phase plane analysis. Liapunov stability. Limit cycles and the Poincare’-Bendixson Theorem. Stability of Linear non-autonomous systems. Prerequisite: Graduate Standing.