Math-5101(Ordinary Differential Equations)

This is a Graduate Course.

Course description: 

Existence and uniqueness of solutions of linear systems. Stability Theory, Liapunov method. Two-dimensional autonomous systems, Poincare-Bendixson Theory. Second order linear differential equations: properties and zeros of the solutions. Sturm-Liouville theory: Linear differential operators in L2 space, eigen functions and eigen values of self-adjoint linear operators, orthogonal polynomials and eigen function expansions.