MTH 401 THEORY OF ORDINARY DIFFERENTIAL EQUATIONS (3 Units)

Differential equations: existence and uniqueness theorems dependence of solution on initial data and parameters.  Properties of solutions.  Sturm comparison and Sonin-Polya theorems. Linear and non-linear systems.  Floguet’s theory and stability theory.  Integral equations:  classification, volterra and fredlhom types  Neumann series.  Fredholm alternative for degenerate Hilbert – Schmidt kernels.  Reduction of ordinary differential equations to integral equations.  Sysmmetric kernels, eigen function expansion with application.

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