Implicit Differential Equations From the Singularity Theory Viewpoint
Bruce, J. ; Tari, F.
Banach Center Publications, Tome 37 (1996), p. 23-38 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:262584
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     author = {Bruce, J. and Tari, F.},
     title = {Implicit Differential Equations From the Singularity Theory Viewpoint},
     journal = {Banach Center Publications},
     volume = {37},
     year = {1996},
     pages = {23-38},
     zbl = {0853.58063},
     language = {en},
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Bruce, J.; Tari, F. Implicit Differential Equations From the Singularity Theory Viewpoint. Banach Center Publications, Tome 37 (1996) pp. 23-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p23bwm/

[000] [1] V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, Berlin, 1983. | Zbl 0507.34003

[001] [2] Th. Brocker and L. C. Lander, Differentiable Germs and Catastrophes, London Math. Soc. Lecture Note Ser. 17, Cambridge University Press, 1975. | Zbl 0302.58006

[002] [3] J. W. Bruce, A note on first order differential equations of degree greater than one and wavefront evolution, Bull. London Math. Soc. 16 (1984), 139-144. | Zbl 0503.34003

[003] [4] J. W. Bruce, A. A. du Plessis and C. T. C. Wall, Determinacy and unipotency, Invent. Math. 88 (1987), 521-554.

[004] [5] J. W. Bruce and D. Fidal, On binary differential equations and umbilics, Proc. Roy. Soc. Edinburgh 111A (1989), 147-168. | Zbl 0685.34004

[005] [6] J. W. Bruce and F. Tari, On binary differential equations, Nonlinearity 8 (1995), 255-271. | Zbl 0830.34021

[006] [7] L. Dara, Singularités génériques des équations différentielles multiformes, Bol. Soc. Brasil. Math. 6 (1975) 95-128. | Zbl 0405.34045

[007] [8] G. Darboux, Leçons sur la théorie générale des surfaces, Vol. 4, Gauthier-Villars, Paris, 1896.

[008] [9] A. A. Davydov, Normal forms of differential equations unresolved with respect to derivatives in a neighbourhood of a singular point, Functional Anal. Appl. 19 (1985), 1-10.

[009] [10] C. Gutierrez and J. Sotomayor, Structurally stable configurations of lines of principal curvature, Astérisque (1982), 98-99. | Zbl 0521.53003

[010] [11] C. Gutierrez and J. Sotomayor, Lines of curvature and umbilical points on surfaces, 18 Colóquio Brasileiro de Matemática, Instituto de Matemática Pura e Aplicada, Brasil, 1991.

[011] [12] A. D. Myshkis, Differential inequalities with locally bounded derivatives, Zap. Mekh.-Mat. F-ta Khar'kovskigo Mat. O-va 30 (1964), 152-163.

[012] [13] J. M. West, Ph. D. Thesis, Liverpool University, 1995.

[013] [14] H. Whitney, On singularities of mappings of Euclidean spaces I, Mappings from the plane to the plane, Ann. of Math. 62 (1955), 374-410. | Zbl 0068.37101