ORDINARY DIFFERENTIAL EQUATIONS

Basic concepts: Phase spaces, Existence and uniquness theorems, Dependence on Initial conditions and associated flows. Linear systems: Fundamental matrix, Stability of equilibrium points. Sturm- Liouville theory. Nonlinear systems and their stability: Poincare-Bendixon theorem, Purturbed linear systems, Lyaounov methods.  

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Last updated: 20 May 2024