# American Institute of Mathematical Sciences

December  2018, 11(6): 1283-1316. doi: 10.3934/dcdss.2018072

## Structure of approximate solutions of Bolza variational problems on large intervals

 Department of Mathematics, The Technion – Israel Institute of Technology, Technion City, Haifa 32000, Israel

Received  March 2017 Revised  July 2017 Published  June 2018

In this paper we study the structure of approximate solutions of autonomous Bolza variational problems on large finite intervals. We show that approximate solutions are determined mainly by the integrand, and are essentially independent of the choice of time interval and data.

Citation: Alexander J. Zaslavski. Structure of approximate solutions of Bolza variational problems on large intervals. Discrete & Continuous Dynamical Systems - S, 2018, 11 (6) : 1283-1316. doi: 10.3934/dcdss.2018072
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