Media Storage Type : DVD-ROM
NPTEL Course Name : Ordinary Differential Equations
NPTEL Subject Matter Expert : Prof. V. Raghavendra
NPTEL Co-ordinating Institute : IIT Kanpur
NPTEL Lecture Count : 33
Lecture Titles:
Lecture 1 - Preliminaries
Lecture 2 - Picard's Successive Approximations
Lecture 3 - Picard's Theorem
Lecture 4 - Continuation and Dependence on Initial conditions
Lecture 5 - Existence of Solutions in the Large
Lecture 6 - Existence and Uniqueness of Solutions of Systems
Lecture 7 - Cauchy-Peano theorem
Lecture 8 - Introduction
Lecture 9 - Linear Dependence and Wronskian
Lecture 10 - Basic Theory for Linear Equations
Lecture 11 - Method of Variation of Parameters
Lecture 12 - Homogeneous Linear Equations with Constant Coefficients
Lecture 13 - Introduction - Module 3
Lecture 14 - Systems of First Order Equations
Lecture 15 - Fundamental Matrix
Lecture 16 - Non-homogeneous linear Systems
Lecture 17 - Linear Systems with Constant Coefficients
Lecture 18 - Phase Portraits-Introduction
Lecture 19 - Phase Portraits (continued)
Lecture 20 - Introduction - Module 4
Lecture 21 - Sturm's Comparison Theorem
Lecture 22 - Elementary Linear Oscillations
Lecture 23 - Boundary Value Problems
Lecture 24 - Sturm-Liouville Problem
Lecture 25 - Green's Functions
Lecture 26 - Introduction - Module 5
Lecture 27 - Linear Systems with Constant Coefficient (module5)
Lecture 28 - Linear Systems with Variable Coefficients
Lecture 29 - Second Order Linear Differential Equations
Lecture 30 - Stability of Quasi-linear Systems
Lecture 31 - Stability of Autonomous Systems
Lecture 32 - Stability of Non-Autonomous Systems
Lecture 33 - A Particular Lyapunov Function