Approximate and relaxed solutions of differential inclusions

Giovanni Colombo

Rendiconti del Seminario Matematico della Università di Padova (1989)

  • Volume: 81, page 229-238
  • ISSN: 0041-8994

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Colombo, Giovanni. "Approximate and relaxed solutions of differential inclusions." Rendiconti del Seminario Matematico della Università di Padova 81 (1989): 229-238. <http://eudml.org/doc/108140>.

@article{Colombo1989,
author = {Colombo, Giovanni},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {approximate solutions; upper semicontinuous differential inclusions},
language = {eng},
pages = {229-238},
publisher = {Seminario Matematico of the University of Padua},
title = {Approximate and relaxed solutions of differential inclusions},
url = {http://eudml.org/doc/108140},
volume = {81},
year = {1989},
}

TY - JOUR
AU - Colombo, Giovanni
TI - Approximate and relaxed solutions of differential inclusions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1989
PB - Seminario Matematico of the University of Padua
VL - 81
SP - 229
EP - 238
LA - eng
KW - approximate solutions; upper semicontinuous differential inclusions
UR - http://eudml.org/doc/108140
ER -

References

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  1. [1] J.P. Aubin - A. CELLINA, Differential Inclusions, Springer-Verlag, Berlin (1984). Zbl0538.34007MR755330
  2. [2] A. Bressan, On a bang-bang principle for non-linear systems, Boll. Un. Mat. Ital. Anal. Funz. Appl. (1980), pp. 53-59. Zbl0445.49012MR677691
  3. [3] A. Cellina, Approximation of set valued functions and fixed point theorems, Ann. Mat. Pura Appl., 82 (1969), pp. 17-24. Zbl0187.07701MR263046
  4. [4] A. Cellina, On the differential inclusion x' ∈ [- 1, + 1], Atti Accad. Naz. Lincei Rend. Cl. Fis. Mat. Natur., Serie VIII, 69 (1980), pp. 1-6. Zbl0922.34009
  5. [5] A.F. Filippov, Classical solutions of differential equations with muttivalued right hand side, SIAM J. Control., 5 (1967), pp. 609-621. MR220995
  6. [6] A. Fryszkowski, Continuous selections for a class of non-convex multivalued maps, Studia Math., 78 (1983), pp. 163-174. Zbl0534.28003MR730018
  7. [7] O. Hájek, Discontinuous differential equations - I, J. Diff. Eq., 32 (1979), pp. 149-170. Zbl0365.34017MR534546
  8. [8] A. Ornelas, Approximation of relaxed solutions for lower semicontinuous differential inclusions, to appear. Zbl0755.34015
  9. [9] G. Pianigiani, On the fundamegal theory of multivalued differential equations, J. Diff. Eq., 25 (1977), pp. 30-38. Zbl0398.34017MR493660
  10. [10] A. Pliś, Trajectories and quasi-trajectories of an orientor field, Bull. Acad. Polon. Sci., 10 (1962), pp. 529-531. Zbl0124.29404
  11. [11] A.A. Tolstonogov - I.A. Finogenko, On solutions of a differential inclusion with lower semicontinuous right-hand side in a Banach space, Math. U.S.S.R. Sbornik, 53 (1986), pp. 203-231. Zbl0588.34012
  12. [12] T. Waiewski, Sur une généralisation de la notion des solutions d'une équation au contingent, Bull. Acad. Pol. Sci., 10 (1962), pp. 11-15. Zbl0104.30404MR153944

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