Convergence of approximate solutions of variational problems
Alexander J. Zaslavski · Control and Cybernetics · 2009
We study the structure of approximate solutions of autonomous variational problems on large finite intervals. In our previous research, which was summarized in Zaslavski (2006b), we showed that approximate solutions are determined mainly by the integrand, and are essentially independent of the choice of time in- terval and data, except in regions close to the endpoints of the time interval. In the present paper we establish convergence of approxi- mate solutions in regions close to the endpoints of the time intervals.