Voir la notice de l'article provenant de la source Cambridge University Press
Clarke, Frank H. Inequality Constraints in the Calculus of Variations. Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 528-540. doi: 10.4153/CJM-1977-055-6
@article{10_4153_CJM_1977_055_6,
author = {Clarke, Frank H.},
title = {Inequality {Constraints} in the {Calculus} of {Variations}},
journal = {Canadian journal of mathematics},
pages = {528--540},
year = {1977},
volume = {29},
number = {3},
doi = {10.4153/CJM-1977-055-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-055-6/}
}
[1] 1. Berkovitz, L. D., Variational methods in problems of control and programming, J. Math. Anal. Appl. 3 (1961), 145–169. Google Scholar
[2] 2. Bliss, G. A., The problem of Lagrange in the calculus of variations, Amer. J. Math. 52 (1930), 673–744. Google Scholar
[3] 3. Clarke, F. H., Generalized gradients and applications, Trans. Amer. Math. Soc. 205 (1975), 247–262. Google Scholar
[4] 4. Clarke, F. H. The maximum principle under minimal hypotheses, SI AM J. Control and Optimization 14 (1976) 1078–1091. Google Scholar
[5] 5. Clarke, F. H. Necessary conditions for a general control problem, in Proceedings of the Symposium on the Calculus of Variations and Optimal Control, Russell, D. L., Editor (Mathematics Research Center, University of Wisconsin-Madison), Academic Press, N.Y. (1976). Google Scholar
[6] 6. Clarke, F. H. Necessary conditions for a general control problem, in Proceedings of the Symposium on the Calculus of Variations and Optimal Control, Russell, D. L. Necessary conditions for a general control problem, in Proceedings of the Symposium on the Calculus of Variations and Optimal Control, Russell, D. L. A new approach to Lagrange multipliers, Math, of Operations Res. 1 (1976) 165–174. Google Scholar
[7] 7. Hestenes, M. R., Calculus of variations and optimal control theory (Wiley, N.Y., 1966). Google Scholar
[8] 8. Pennisi, L. L., An indirect sufficiency proof for the problem of Lagrange with differential inequalities as added side conditions, Trans. Amer. Math. Soc. 74 (1953), 177–198. Google Scholar
[9] 9. Rockafellar, R. T., Convex analysis (Princeton Press, Princeton, N.J., 1970). Google Scholar
[10] 10. Rockafellar, R. T. Measurable dependence of convex sets, J. Math. Anal. Appl. 28 (1969), 4–25. Google Scholar
[11] 11. Sagan, H., Introduction to the calculus of variations (McGraw-Hill, N.Y., 1969). Google Scholar
[12] 12. Valentine, F. A., The problem of Lagrange with differential inequalities as added side conditions, in Contributions to the Calculus of Variations 1933–37, Department of Mathematics, University of Chicago (University of Chicago Press, Chicago). Google Scholar
Cité par Sources :