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/}
}
TY  - JOUR
AU  - E. Girejko
AU  - D. Mozyrska
AU  - M. Wyrwas
TI  - Contingent Epiderivatives of Functions on Time Scales
JO  - Journal of convex analysis
PY  - 2011
SP  - 1047
EP  - 1064
VL  - 18
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2011_18_4_JCA_2011_18_4_a7/
ID  - JCA_2011_18_4_JCA_2011_18_4_a7
ER  - 
%0 Journal Article
%A E. Girejko
%A D. Mozyrska
%A M. Wyrwas
%T Contingent Epiderivatives of Functions on Time Scales
%J Journal of convex analysis
%D 2011
%P 1047-1064
%V 18
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2011_18_4_JCA_2011_18_4_a7/
%F JCA_2011_18_4_JCA_2011_18_4_a7
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/