'Gronwall's Lemma ' Video Lecture

Gronwall's Lemma

Course: Ordinary Differential Equations and Applications

Faculty: A. K. Nandakumaran Raju, K. George, P. S. Datti

Gronwall's Lemma - Click on the Video Link shown below to play the video on Youtube. Browse through Ordinary Differential Equations and Applications (Mathematics) Video Lectures by A. K. Nandakumaran Raju, K. George, P. S. Datti from IISc Bangalore through NPTEL.

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Course Video Lectures General Introduction Examples Examples Continued I Examples Continued II Linear Algebra Linear Algebra Continued I Linear Algebra Continued II Analysis Analysis Continued First Order Linear Equations Exact Equations Second Order Linear Equations Second Order Linear Equations Continued I Second Order Linear Equations Continued II Well-posedness and Examples of IVP Gronwall's Lemma Basic Lemma and Uniqueness Theorem Picard's Existence and Uniqueness Theorem Picard's Existence and Uniqueness Continued Cauchy Peano Existence Theorem Existence using Fixed Point Theorem Continuation of Solutions Series Solution General System and Diagonalizability 2 by 2 systems and Phase Plane Analysis 2 by 2 systems and Phase Plane Analysis Conti.. General Systems General Systems Continued and Non-homogeneous.. Basic Definitions and Examples Stability Equilibrium Points Stability Equilibrium Points Continued I Stability Equilibrium Points Continued II Second Order Linear Equations Continued III Lyapunov Function Lyapunov Function Continued Periodic Orbits and Poincare Bendixon Theory Periodic Orbits and Poincare Bendixon Theory .. Linear Second Order Equations General Second Order Equations General Second Order Equations Continued