Geodesic
Contingent Epiderivatives of Functions on Time Scales
Journal of convex analysis, Tome 18 (2011) no. 4, pp. 1047-1064

Voir la notice de l'article provenant de la source Heldermann Verlag

We characterize functions defined on times scales by the contingent epiderivative. Relations between delta and nabla derivatives and the contingent epiderivative of functions defined on time scales are investigated. We formulate two notions that are exploited in optimal control theory, namely the Fermat Rule and pseudo-convexity. Appropriate illustrative examples are presented. 
@article{JCA_2011_18_4_JCA_2011_18_4_a7,
     author = {E. Girejko and D. Mozyrska and M. Wyrwas},
     title = {Contingent {Epiderivatives} of {Functions} on {Time} {Scales}},
     journal = {Journal of convex analysis},
     pages = {1047--1064},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2011},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_4_JCA_2011_18_4_a7/}
}
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E. Girejko; D. Mozyrska; M. Wyrwas. Contingent Epiderivatives of Functions on Time Scales. Journal of convex analysis, Tome 18 (2011) no. 4, pp. 1047-1064. http://geodesic.mathdoc.fr/item/JCA_2011_18_4_JCA_2011_18_4_a7/