Generic Well-Posedness of Nonconvex Constrained Variational Problems

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

Journal of Optimization Theory and Applications, 2006, vol. 130, issue 3, No 9, 529-545

Abstract: Abstract In our previous work, a generic well-posedness result (with respect to the variations of the integrand of the integral functional) was established for a class of nonconvex optimal control problems. In this paper, we extend this generic well-posedness result to classes of constrained variational problems in which the values at the endpoints and the constraint maps are also subject to variations. We consider constrained variational problems with constraint maps which depend on the independent variable and also on the state variable.

Keywords: Complete metric spaces; generic properties; integrands; variational problems (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9115-7

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