# On the existence of $\psi $-minimal viable solutions for a class of differential inclusions

Archivum Mathematicum (1991)

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

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topPapageorgiou, 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

top- J. P.Aubin, Slow and heavy viable trajectories of controlled problems. Smooth viability domain, In Multifunction and Integrals, ed. G. Salinetti, Lecture Notes in Math., vol. 1091, Springer, Berlin (1984), 105-116. (1984) Zbl0558.49017MR0785578
- J. P. Aubin A. Cellina, Differential Inclusions, Springer, Berlin (1984). (1984) MR0755330
- J. P. Aubin I. Ekeland, Applied Analysis, Wiley, New York (1984). (1984) MR0749753
- K. Deimling, Multivalued differential equations on closed sets, Diff. and Integral Equations 1 (1988), 23-30. (1988) Zbl0715.34114MR0920486
- J. P. Delahaye J. Denel, The continuities of the point to set maps, definitions and equivalences, Math. Progr. Study 10 (1979), 8-12. (1979)
- M. Falcone P. Saint-Pierre, Slow and quasislow solutions of differential inclusions, Nonl. Anal. - T.M.A. 11 (1987), 367-377. (1987) Zbl0628.34013MR0881724
- C. Henry, Differential equations with discontinuous right hand side for planning procedures, J. Econ. Theory 4 (1972), 545-551. (1972) MR0449534
- F. Hiai H. Umegaki, Integrals, conditional expectations and martingales of multivalued functions, J. Mult. Anal. 7 (1977), 149-182. (1977) Zbl0368.60006MR0507504
- E. Klein A. Thompson, Theory of Correspondences, Wiley, New York (1984). (1984) Zbl0556.28012MR0752692
- K. Kuratowski, Topology I, Academic Press, New York (1966). (1966) MR0217751
- U. Mosco, Convergence of convex sets and of solutions of variational inequalities, Adv. Math. 3 (1969), 510-585. (1969) Zbl0192.49101MR0298508
- N. S. Papageorgiou, Convergence of Banach space valued integrable multifunction, Intern. J. Math and Math. Sci 10 (1987), 433-442. (1987) MR0896595
- N. S. Papageorgiou, Viable and periodic solutions for differential inclusions in Banach spaces, Kobe J. Math. 5 (1988), 29-42. (1988) Zbl0674.34014MR0988577
- 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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