MTL504: Ordinary Differential Equations

4 Credits (3-1-0)

Initial value problems, Cauchy-Picard Theorem. General theory of linear differential systems. Sturms theory on separation and comparison properties of solutions, Boundary value problems, Green functions, Sturm-Liouville problems, Weyl-Titschmarsh theorem for unbounded interval- limit cycle, limit point cases. Power series method, regular singular points, Legendre ansBassel equations, Linear system with constant coefficients, fundamental matrix, linear systems with periodic coefficients. Critical points, phase plane analysis and concepts of linear and nonlinear stability. Autonomous systems and applications.