Second-order necessary conditions for discrete inclusions with end point constraints
Aurelian Cernea
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 25 (2005), p. 47-58 / Harvested from The Polish Digital Mathematics Library
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We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:271525 
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Aurelian Cernea. Second-order necessary conditions for discrete inclusions with end point constraints. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 25 (2005) pp. 47-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1058/

[000] [1] J.P. Aubin and H. Frankowska, Set-valued Analysis, Birkhäuser, Basel 1990.

[001] [2] A. Ben-Tal and J. Zowe, A unified theory of first and second order conditions for extremum problems in topological vector spaces, Math. Programming Study 19 (1982), 39-76. | Zbl 0494.49020

[002] [3] A. Cernea, On some second-order necessary conditions for differential inclusion problems, Lecture Notes Nonlin. Anal. 2 (1998), 113-121. | Zbl 1096.49517

[003] [4] A. Cernea, Some second-order necessary conditions for nonconvex hyperbolic differential inclusion problems, J. Math. Anal. Appl. 253 (2001), 616-639. | Zbl 0971.49013

[004] [5] A. Cernea, Derived cones to reachable sets of discrete inclusions, submitted. | Zbl 1213.93012

[005] [6] A. Cernea, On the maximum principle for discrete inclusions with end point constraints, Math. Reports, to appear. | Zbl 1069.49019

[006] [7] H.D. Tuan and Y. Ishizuka, On controllability and maximum principle for discrete inclusions, Optimization 34 (1995), 293-316. | Zbl 0854.93082

[007] [8] H. Zheng, Second-order necessary conditions for differential inclusion problems, Appl. Math. Opt. 30 (1994), 1-14. | Zbl 0806.49017