Affiliation:
1. Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel
Abstract
The Tonelli existence theorem in the calculus of variations and its subsequent modifications were established for integrandsfwhich satisfy convexity and growth conditions. In 1996, the author obtained a generic existence and uniqueness result (with respect to variations of the integrand of the integral functional) without the convexity condition for a class of optimal control problems satisfying the Cesari growth condition. In this paper, we survey this result and its recent extensions, and establish several new results in this direction.
Subject
Applied Mathematics,Analysis
Cited by
1 articles.
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1. A generic result in vector optimization;Journal of Inequalities and Applications;2006