'Picard's Existence and Uniqueness Theorem' Video Lecture

Picard's Existence and Uniqueness Theorem

  • Course: Ordinary Differential Equations and Applications
  • Discipline: Mathematics
  • Faculty: A. K. Nandakumaran Raju, K. George, P. S. Datti
  • Institute: IISc Bangalore

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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
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