Singularities of the maximum function over a preimage

• Autorzy: Aleksey Davydov
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 32
• Numer: 1
• Strony: 167-181

Daty

wydano

1995

Twórcy

autor

Aleksey Davydov

• Department of Mathematics, Vladimir State Technical University, Gorkii street 87, 600026 Vladimir, Russia

Bibliografia

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• [5] V. M. Alekseev, V. M. Tikhomirov and S. V. Fomin, Optimal Control, Nauka, Moscow 1979 (in Russian).
• [6] L. N. Bryzgalova, Singularities of the maximum of a parametrically dependent function, Functional Anal. Appl. 12 (1977), 50-51.
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• [8] J.-P. Dufour, Stabilité simultanée de deux fonctions différentiables, Ann Inst. Fourier (Grenoble), 29 (1) (1979), 263-282.
• [9] M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, Springer, 1973.
• [10] V. I. Matov, Topological classification of the germs of functions of the maximum and minimax of families of functions in general position, Russian Math. Surveys 37 (4) (1982), 127-128.
• [11] B. Morin, Formes canoniques des singularités d'une application différentiable, C.R. Acad. Sci. Paris 260 (1965), 5662-5665, 6503-6506.
• [12] L. S. Pontryagin, On the theory of differential games, Uspekhi Mat. Nauk 21 (4) (1961), 219-274 (in Russian).
• [13] L. S. Pontryagin, V. G. Boltyanskiĭ, R. V. Gamkrelidze and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Pergamon Press, New York-Paris 1964.
• [14] V. M. Zakalyukin, Metamorphoses of fronts, caustics, depending on a parameter; versality of mappings, J. Soviet Math. 27 (1984), 2713-2735.