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- Title
Convergence of approximate solutions of variational problems.
- Authors
Zaslavski, Alexander J.
- Abstract
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 interval and data, except in regions close to the endpoints of the time interval. In the present paper we establish convergence of approximate solutions in regions close to the endpoints of the time intervals.
- Subjects
BOCHNER integrals; ASYMPTOTIC expansions; ACCELERATION of convergence in numerical analysis; STOCHASTIC convergence; NONLINEAR theories; MATHEMATICAL analysis
- Publication
Control & Cybernetics, 2009, Vol 38, Issue 4B, p1607
- ISSN
0324-8569
- Publication type
Article