On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions

Aurelian Cernea

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 1, page 215-224
  • ISSN: 0011-4642

Abstract

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We consider a class of nonconvex and nonclosed hyperbolic differential inclusions and we prove the arcwise connectedness of the solution set.

How to cite

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Cernea, Aurelian. "On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions." Czechoslovak Mathematical Journal 52.1 (2002): 215-224. <http://eudml.org/doc/30694>.

@article{Cernea2002,
abstract = {We consider a class of nonconvex and nonclosed hyperbolic differential inclusions and we prove the arcwise connectedness of the solution set.},
author = {Cernea, Aurelian},
journal = {Czechoslovak Mathematical Journal},
keywords = {hyperbolic differential inclusions; fixed point; solution set; hyperbolic differential inclusions; fixed-point; solution set},
language = {eng},
number = {1},
pages = {215-224},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions},
url = {http://eudml.org/doc/30694},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Cernea, Aurelian
TI - On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 1
SP - 215
EP - 224
AB - We consider a class of nonconvex and nonclosed hyperbolic differential inclusions and we prove the arcwise connectedness of the solution set.
LA - eng
KW - hyperbolic differential inclusions; fixed point; solution set; hyperbolic differential inclusions; fixed-point; solution set
UR - http://eudml.org/doc/30694
ER -

References

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  6. Fixed points of multivalued contractions with nonclosed, nonconvex values, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 5 (1994), 203–212. (1994) Zbl0862.54040MR1298263
  7. 10.1023/A:1006533606338, Acta Math. Hungar. 76 (1997), 287–301. (1997) MR1459237DOI10.1023/A:1006533606338
  8. 10.1023/A:1006539007972, Acta Math. Hungar. 78 (1998), 267–268. (1998) MR1604707DOI10.1023/A:1006539007972
  9. On a non-convex hyperbolic differential inclusion, Proc. Edinburgh Math. Soc. 35 (1992), 375–382. (1992) Zbl0769.34018MR1187000
  10. A characterization of the solutions of the Darboux problem for the equation u x y F ( x , y , u ) , An. Stiint. Univ. Al. I. Cuza Iasi Mat. 33 (1987), 33–38. (1987) MR0925687

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