Ordinary Differential Equations VWJ0G3Q8P0

URI	`m2://res/VWJ0G3Q8P0`
Kind	course
Creators	V. Raghavendra (instructor)
MSC	34-XX
Scope	in
Ids	course 05pjsgx75:111104031

Expressions

e1: edition

Language	en

m1: page, IIT Kanpur (record). nptel 111104031

Contents

part 1: Existence and Uniqueness of Solutions
session 1: Preliminaries
session 2: Picard's Successive Approximations
session 3: Picard's Theorem
session 4: Continuation and Dependence on Initial conditions
session 5: Existence of Solutions in the Large
session 6: Existence and Uniqueness of Solutions of Systems
session 7: Cauchy-Peano theorem
part 2: Linear Differential Equations of Higher Order
session 8: Introduction
session 9: Linear Dependence and Wronskian
session 10: Basic Theory for Linear Equations
session 11: Method of Variation of Parameters
session 12: Homogeneous Linear Equations with Constant Coefficients
part 3: System of Linear Differential equations
session 13: Introduction- module 3
session 14: Systems of First Order Equations
session 15: Fundamental Matrix
session 16: Non-homogeneous linear Systems
session 17: Linear Systems with Constant Coefficients
session 18: Phase Portraits-Introduction
session 19: Phase Portraits (continued)
part 4: Oscillations and Boundary value Problems
session 20: Introduction - module 4
session 21: Sturm's Comparison Theorem
session 22: Elementary Linear Oscillations
session 23: Boundary Value Problems
session 24: Sturm-Liouville Problem
session 25: Green's Functions
part 5: Asymptotic behavior and Stability Theory
session 26: Introduction -Module 5
session 27: Linear Systems with Constant Coefficient (module5)
session 28: Linear Systems with Variable Coefficients
session 29: Second Order Linear Differential Equations
session 30: Stability of Quasi-linear Systems
session 31: Stability of Autonomous Systems
session 32: Stability of Non-Autonomous Systems
session 33: A Particular Lyapunov Function

Catalogue records

nptel: 111104031 (manifestation)