MATH 6650 Differential Equations I

MATH 6650 Differential Equations I
Differential Equations I
ODE: existence and uniqueness, stability and linearized stability, phase plane analysis, bifurcation and chaos. PDE: heat, wave, and Laplace equations, functional analytic (Sobolev space) and geometric (characteristic) methods. Maximum principle. Introduction to nonlinear PDE's.
credit hours: 3