This is the second course in a series of courses on The Calculus of Variations which covers the second variation and some generalised functionals.
I would recommend having completed the first course or alternatively have a good grounding on the basics of Calculus of Variations.
We will cover the fundamentals of the second variation which will consist of a thorough grounding in conjugate points and envelopes. Then we will move onto looking at some more generalised functionals.
- Second Variation
- Legendre Test
- Jacobi Accessory Equation
- Conjugate Points
- Generalised Functionals
- Green’s Theorem