Learn · Ordinary Differential Equations
Lecture 38 of 41Week 11
Lecture 37, Equilibrium points
Prof. Kaushik Bal · IIT Kanpur
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All the lectures
- Lecture 1, Vector Spaces
- Lecture 2, Linear Transformations
- Lecture 3, Matrices
- Lecture 4, Derivatives
- Lecture 5, Lipschitz Continuity
- Lecture 6, Cauchy Schwartz Inequality
- Lecture-7, Ordinary Differential Equations: Introduction
- Lecture-8, Differential Inequalities
- Lecture-9, 2nd Order ODEs
- Lecture-10, Picard's Theorem
- Lecture-11, Linear Dependence and Independence
- Lecture 12, Well-posedness of an ODE
- Lecture 13, Linear System 1
- Lecture 14, Linear System 2
- Extra Lecture
- Lecture 15, Exponential matrix
- Lecture 16, Solution of linear system system of ODE
- Lecture 17, Eigen value and eigen vector
- Lecture 18, Canonical form
- Lecture 19, Solution of system of equations using method of eigenvalue
- Lecture 20, Method of eigenvalue continued
- Lecture 21, Maximal interval of existence
- Lecture 22, Maximal interval of existence continued
- Lecture 23, Periodic Linear system
- Lecture 24, Asymptotic behavior of solution
- Lecture 25, Asymptotic behavior of solution( continued )
- Lecture 26, Asymptotic Behavior of Linear System: Part 3
- Lecture 27, Exact and Adjoint Equation
- Lecture 28, Theory of Oscillation
- Lecture 29: Sturm-Picone's theorem, Leighton's theorem
- Lecture 30: Boundary Value Problems
- Lecture 31: Maximum Principle
- Lecture 32, Strum-Liouville Theory
- Lecture 33, Strum-Liouville Theory 2
- Lecture 34, Periodic Strum-Liouville Problem
- Lecture 35, Eigenfunction Expansion
- Lecture 36, Stability of a system
- Lecture 37, Equilibrium points
- Lecture 38, Lyapunov function and its application
- Lecture 39, Stability of Equilibria
- Lecture 40, Phase Portrait