Problèmes aux limites pour des inclusions différentielles sans condition de croissance

Marlène Frigon

Annales Polonici Mathematici (1991)

  • Volume: 54, Issue: 1, page 69-83
  • ISSN: 0066-2216

Abstract

top
 Abstract. Applying the topological transversality method of Granas and the a priori bounds technique, we prove some existence theorems for diflerential inclusions of the form x" ∈ F(t, x, x'), x ∈ ℬ, where F is a Carathéodory multifunction with convex, compact values. No growth condition will be imposed on F.

How to cite

top

Marlène Frigon. "Problèmes aux limites pour des inclusions différentielles sans condition de croissance." Annales Polonici Mathematici 54.1 (1991): 69-83. <http://eudml.org/doc/266989>.

@article{MarlèneFrigon1991,
author = {Marlène Frigon},
journal = {Annales Polonici Mathematici},
keywords = {existence; boundary value problem; multivalued mapping; without growth conditions},
language = {fre},
number = {1},
pages = {69-83},
title = {Problèmes aux limites pour des inclusions différentielles sans condition de croissance},
url = {http://eudml.org/doc/266989},
volume = {54},
year = {1991},
}

TY - JOUR
AU - Marlène Frigon
TI - Problèmes aux limites pour des inclusions différentielles sans condition de croissance
JO - Annales Polonici Mathematici
PY - 1991
VL - 54
IS - 1
SP - 69
EP - 83
LA - fre
KW - existence; boundary value problem; multivalued mapping; without growth conditions
UR - http://eudml.org/doc/266989
ER -

References

top
  1. [1] J. J. Benedetto, Real Variable and Integration, Teubner, Stuttgart 1976. Zbl0336.26001
  2. [2] C. Berge, Espaces topologiques, Fonctions multivoques, Dunod, Paris 1959. Zbl0088.14703
  3. [3] J. Dugundji and A. Granas, Fixed Point Theory, Vol. 1, Monografie Matematyczne 61', PWN, Warszawa 1982. 
  4. [4] L. H. Erbe and W. Krawcewicz, Nonlinear boundary value problems for differential inclusions y" e F(x, y, y'), Ann. Polon. Math, (to appear). Zbl0731.34078
  5. [5] M. Frigon, Application de la théorie de la transversalité topologique à des problèmes non linéaires pour des équations différentielles ordinaires, Dissertationes Math. 296 (1990), 79 pp. 
  6. [6] M. Frigon, Théorie de la transversalité topologique appliquée à des problèmes aux limites sans condition de croissance. Rapport CRM-1632, Université de Montréal, Septembre 1969. 
  7. [7] A. Granas, R. B. Guenther and J. W. Lee, Some existence results for the differential inclusions y ( k ) ∈ ( x , y , . . . , y ( k - 1 ) ) , y ∈ ℬ , C. R. Acad. Sci. Paris Sér. I 307 (1988), 391-396. Zbl0652.34018
  8. [8] Some general existence principles In the Carathéodory theory of nonlinear differential systems, J. Math. Pures Appl. (to appear). 
  9. [9] C. J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72. Zbl0296.28003
  10. [10] T. Pruszko, Topological degree methods in multi-valued boundary value problems, Nonlinear Anal. 5 (1981), 959-973. Zbl0478.34017
  11. [11] T. Pruszko, Some applications of the topological degree theory to multi-valued boundary value problems, Dissertationes Math. 229 (1984), 52 pp. Zbl0543.34008

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.