Equivariant degree of convex-valued maps applied to set-valued BVP

Zdzisław Dzedzej

Open Mathematics (2012)

  • Volume: 10, Issue: 6, page 2173-2186
  • ISSN: 2391-5455

Abstract

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An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.

How to cite

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Zdzisław Dzedzej. "Equivariant degree of convex-valued maps applied to set-valued BVP." Open Mathematics 10.6 (2012): 2173-2186. <http://eudml.org/doc/269357>.

@article{ZdzisławDzedzej2012,
abstract = {An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.},
author = {Zdzisław Dzedzej},
journal = {Open Mathematics},
keywords = {Equivariant degree; Multivalued map; Differential inclusion; Bernstein-Nagumo conditions; equivariant degree; multivalued map; differential inclusion},
language = {eng},
number = {6},
pages = {2173-2186},
title = {Equivariant degree of convex-valued maps applied to set-valued BVP},
url = {http://eudml.org/doc/269357},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Zdzisław Dzedzej
TI - Equivariant degree of convex-valued maps applied to set-valued BVP
JO - Open Mathematics
PY - 2012
VL - 10
IS - 6
SP - 2173
EP - 2186
AB - An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.
LA - eng
KW - Equivariant degree; Multivalued map; Differential inclusion; Bernstein-Nagumo conditions; equivariant degree; multivalued map; differential inclusion
UR - http://eudml.org/doc/269357
ER -

References

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  3. [3] Balanov Z., Krawcewicz W., Steinlein H., Applied Equivariant Degree, AIMS Ser. Differ. Equ. Dyn. Syst., 1, American Institute of Mathematical Sciences, Springfield, 2006 Zbl1123.47043
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  12. [12] Michael E., Continuous selections I, Annals of Math., 1956, 63(2), 361–382 http://dx.doi.org/10.2307/1969615[Crossref] Zbl0071.15902
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