Generic Well-Posedness of Constrained Variational Problems Without Convexity Assumptions

A. J. Zaslavski
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A. J. Zaslavski: Technion

Journal of Optimization Theory and Applications, 2004, vol. 123, issue 3, No 12, 695-712

Abstract: Abstract In our previous work, a generic well-posedness result (with respect to variations of the integrand of the integral functional) without the convexity condition was established for a class of optimal control problems satisfying the Cesari growth condition. In this paper, we extend this generic well-posedness result to classes of constrained variational problems in which the values at the endpoints and constraint maps are also subject to variations.

Keywords: Complete metric spaces; generic properties; integrands; variational problems (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/s10957-004-5729-9

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