Ordinary Differential Equations - Qualitative Theory

3 credits · Undergraduate

Qualitative theory is concerned with determining the behaviour of solutions of differential equations without finding explicit solutions. Topics are selected from Liapunov stability theory, stable and unstable manifolds of singular points and periodic solutions, classification of plane singular points, structural stability and Hamiltonian systems. Other topics at the instructor’s discretion. PREREQUISITES: MATH 4190.03 EXCLUSIONS: MATH 5200.03 FORMATS: Lecture