A non-classical class of variational problems

Details A non-classical class of variational problems A non-classical class of variational problems

2009-11-02

arxiv.org/abs/0911.0353v1

Int. J. Mathematical Modelling and Numerical Optimisation, Vol. 1, No. 3, 2010, pp.227-236

Mathematics

Optimization and Control

Accepted (October 13, 2009) for publication, International Journal of Mathematical Modelling and Numerical Optimisation (IJMMN

Scientific paper

10.1504/IJMMNO.2010.031750

We study a new non-classical class of variational problems that is motivated by some recent research on the non-linear revenue problem in the field of economics. This class of problem can be set up as a maximising problem in the Calculus of Variations (CoV) or Optimal Control. However, the state value at the final fixed time, y(T), is a priori unknown and the integrand is a function of the unknown y(T). This is a non-standard CoV problem. In this paper we apply the new costate boundary conditions p(T) in the formulation of the CoV problem. We solve some sample examples in this problem class using the numerical shooting method to solve the resulting TPBVP, and incorporate the free y(T) as an additional unknown. Essentially the same results are obtained using symbolic algebra software.

Affiliated with

Also associated with

No associations

Rating

A non-classical class of variational problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A non-classical class of variational problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A non-classical class of variational problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-29746