On the existence of ψ -minimal viable solutions for a class of differential inclusions

Nikolaos S. Papageorgiou

Archivum Mathematicum (1991)

  • Volume: 027, Issue: 3-4, page 175-182
  • ISSN: 0044-8753

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Papageorgiou, Nikolaos S.. "On the existence of $\psi $-minimal viable solutions for a class of differential inclusions." Archivum Mathematicum 027.3-4 (1991): 175-182. <http://eudml.org/doc/18329>.

@article{Papageorgiou1991,
author = {Papageorgiou, Nikolaos S.},
journal = {Archivum Mathematicum},
keywords = {differential inclusion; Banach space; continuous multifunction; measure of noncompactness; Bouligand's tangent cone; tangency condition},
language = {eng},
number = {3-4},
pages = {175-182},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the existence of $\psi $-minimal viable solutions for a class of differential inclusions},
url = {http://eudml.org/doc/18329},
volume = {027},
year = {1991},
}

TY - JOUR
AU - Papageorgiou, Nikolaos S.
TI - On the existence of $\psi $-minimal viable solutions for a class of differential inclusions
JO - Archivum Mathematicum
PY - 1991
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 027
IS - 3-4
SP - 175
EP - 182
LA - eng
KW - differential inclusion; Banach space; continuous multifunction; measure of noncompactness; Bouligand's tangent cone; tangency condition
UR - http://eudml.org/doc/18329
ER -

References

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  2. J. P. Aubin A. Cellina, Differential Inclusions, Springer, Berlin (1984). (1984) MR0755330
  3. J. P. Aubin I. Ekeland, Applied Analysis, Wiley, New York (1984). (1984) MR0749753
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  5. J. P. Delahaye J. Denel, The continuities of the point to set maps, definitions and equivalences, Math. Progr. Study 10 (1979), 8-12. (1979) 
  6. M. Falcone P. Saint-Pierre, Slow and quasislow solutions of differential inclusions, Nonl. Anal. - T.M.A. 11 (1987), 367-377. (1987) MR0881724
  7. C. Henry, Differential equations with discontinuous right hand side for planning procedures, J. Econ. Theory 4 (1972), 545-551. (1972) MR0449534
  8. F. Hiai H. Umegaki, Integrals, conditional expectations and martingales of multivalued functions, J. Mult. Anal. 7 (1977), 149-182. (1977) MR0507504
  9. E. Klein A. Thompson, Theory of Correspondences, Wiley, New York (1984). (1984) MR0752692
  10. K. Kuratowski, Topology I, Academic Press, New York (1966). (1966) MR0217751
  11. U. Mosco, Convergence of convex sets and of solutions of variational inequalities, Adv. Math. 3 (1969), 510-585. (1969) Zbl0192.49101MR0298508
  12. N. S. Papageorgiou, Convergence of Banach space valued integrable multifunction, Intern. J. Math and Math. Sci 10 (1987), 433-442. (1987) MR0896595
  13. N. S. Papageorgiou, Viable and periodic solutions for differential inclusions in Banach spaces, Kobe J. Math. 5 (1988), 29-42. (1988) Zbl0674.34014MR0988577
  14. T. Zolezzi, Well posedness and stability analysis in optimization, in the Proceedings of the "Fermat Days", ed. J.-B. Hiriat-Urruty, North Holland, New York (1986), 305-320. (1986) Zbl0624.49011MR0874371

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