Geodesic
On necessary conditions for a~minimum
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 4, pp. 121-152

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We discuss a general approach to necessary optimality conditions based on so called “optimality alternative” that reduces a problem with constraints to one or a sequence unconstrained problems. The power of the approach is demonstrated by proofs of a necessary optimality condition in an abstract problem with mixed (convex vs. nonconvex) structure and a new proof of Clarke's “stratified” maximum principle for optimal control of differential inclusions. 
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     author = {A. D. Ioffe},
     title = {On necessary conditions for a~minimum},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {121--152},
     publisher = {mathdoc},
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     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2014_19_4_a4/}
}
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A. D. Ioffe. On necessary conditions for a~minimum. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 4, pp. 121-152. http://geodesic.mathdoc.fr/item/FPM_2014_19_4_a4/