ISSN:
1573-2878
Keywords:
Unilateral variational problems
;
sufficient conditions
;
expansion methods
;
convex analysis
;
Riccati differential inequalities
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For a fixed endpoint, nonparametric simple integral variational problem, there is presented an expansion method proof of a sufficiency theorem for an absolute minimum. In particular, this sufficiency theorem yields readily the proof of a result of the type recently presented by Nehari (Ref. 1), but with an error in formulation and an incorrect proof. The present discussion is in a setting which permits considered arcs to be on the boundary of the set of admissible arcs; thus it contains as particular instances certain types of unilateral variational problems of a control nature.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00933816
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