Singularities of the maximum function over a preimage

Aleksey Davydov

Banach Center Publications (1995)

  • Volume: 32, Issue: 1, page 167-181
  • ISSN: 0137-6934

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Davydov, Aleksey. "Singularities of the maximum function over a preimage." Banach Center Publications 32.1 (1995): 167-181. <http://eudml.org/doc/262658>.

@article{Davydov1995,
author = {Davydov, Aleksey},
journal = {Banach Center Publications},
keywords = {classification of singularities},
language = {eng},
number = {1},
pages = {167-181},
title = {Singularities of the maximum function over a preimage},
url = {http://eudml.org/doc/262658},
volume = {32},
year = {1995},
}

TY - JOUR
AU - Davydov, Aleksey
TI - Singularities of the maximum function over a preimage
JO - Banach Center Publications
PY - 1995
VL - 32
IS - 1
SP - 167
EP - 181
LA - eng
KW - classification of singularities
UR - http://eudml.org/doc/262658
ER -

References

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  1. [1] V. I. Arnol'd, On the theory of envelopes, Russian Math. Surveys 31 (3) (1976). 
  2. [2] V. I. Arnol'd, Singularities in calculus of variations, J. Soviet Math. 27 (1984). 
  3. [3] V. I. Arnol'd, Catastrophe theory, 2nd ed., Springer, 1988. 
  4. [4] V. I. Arnol'd, S. M. Gusein-Zade and A. N. Varchenko, Singularities of Differentiable Maps, 1, Birkhäuser, Basel, 1985. 
  5. [5] V. M. Alekseev, V. M. Tikhomirov and S. V. Fomin, Optimal Control, Nauka, Moscow 1979 (in Russian). Zbl0516.49002
  6. [6] L. N. Bryzgalova, Singularities of the maximum of a parametrically dependent function, Functional Anal. Appl. 12 (1977), 50-51. Zbl0369.58010
  7. [7] A. A. Davydov, Differential inequalities with locally bounded derivatives, Russian Math. Surveys 45 (4) (1990). 
  8. [8] J.-P. Dufour, Stabilité simultanée de deux fonctions différentiables, Ann Inst. Fourier (Grenoble), 29 (1) (1979), 263-282. Zbl0364.58007
  9. [9] M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, Springer, 1973. Zbl0294.58004
  10. [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. Zbl0516.58011
  11. [11] B. Morin, Formes canoniques des singularités d'une application différentiable, C.R. Acad. Sci. Paris 260 (1965), 5662-5665, 6503-6506. Zbl0178.26801
  12. [12] L. S. Pontryagin, On the theory of differential games, Uspekhi Mat. Nauk 21 (4) (1961), 219-274 (in Russian). 
  13. [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. [14] V. M. Zakalyukin, Metamorphoses of fronts, caustics, depending on a parameter; versality of mappings, J. Soviet Math. 27 (1984), 2713-2735. Zbl0554.58011

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