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Your solutions to the compulsory problems can be picked up at the 7th floor of the Math. Building ("the oblig. shelves"). New deadline is May 10, 2:15 pm, in case your solution was not approved. Contact me if you did not as of yet receive any feedback in Devilry.
The Obligatory problem set has been posted on the left side of the course front page. As usual, your solutions should be delivered on paper in the special box, "Obligkassa" , at 7th floor of the Math. Building. Use the special front page form for obligatory problem sets.
Solutions to some of the weekly exercises are now posted under "Solutions", on the left side of this semester page.
The printed
Lecture Notes in Control Theory
contains some more details about Calculus of Variations and Control Theory than the real lectures.
See also the
for copies of many of the real lectures and also solutions to exercises (to be posted frequently from now on).
Student representative for the course is
Hanna Hovdenes,
hannamho[at]student.matnat.uio.no
Please, contact her if you have any suggestions for improvements, adjustments etc. concerning the course.
As noted before the substitution v=x-y can also be used, but leads to more calculations than the one above . The exercise in EP did not require a solution (only the existence an uniqueness of the solution), but it is still useful to provide a formula for the solution.
Correction: A second power is missing in the logarithm in (***)
If you are interested in such applications you may find the following classic book interesting (available as a free net version):
R. Weinstock, Calculus of Variations with Applications to Physics and Engineering
The book is available at no charge on the net via the following link:
Elementary Differential Equations by Edwards and Penney
It appease that you may use the book
ELEMENTARY DIFFERENTIAL EQUATIONS sixth edition, by EDWARDS & PENNEY
as a replacement for
ELEMENTARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUES sixth edition (or seventh edition), by EDWARDS & PENNEY
The first book could be easier to find in stock than the second one (as a paper version).
The first two sessions, Tuesday Jan. 19 and 20, will consist of lectures on first order ordinary differential equations, Edwards and Penny (EP) 1.1-1.5. See the Schedule for more details.
DIFFERENTIAL EQUATIONS:
| Elementary Differential Equations (with Boundary Value Problems), H. Edwards, D. Penney, 6th edition, Pearson Education 2014?
|
The book is available on...