On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions
Czechoslovak Mathematical Journal (2002)
- Volume: 52, Issue: 1, page 215-224
- ISSN: 0011-4642
Access Full Article
topAbstract
topHow to cite
topCernea, 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
top- On the set of solutions of a differential inclusion, Bull. Inst. Math. Acad. Sinica 14 (1986), 271–275. (1986) MR0866561
- On the structure of the set of solutions of the Darboux problem of hyperbolic equations, Proc. Edinburgh Math. Soc. 29 (1986), 7–14. (1986) MR0829175
- On the solution sets of some nonconvex hyperbolic differential inclusions, Czechoslovak Math. J. 45 (1995), 107–116. (1995) MR1314533
- On the set of solutions of the Darboux problem for some hyperbolic equations, Bull. Acad. Polon. Sci. Math. Astronom. Phys. 38 (1980), 279–285. (1980) MR0620202
- Generalized solutions of partial differential inclusions depending on a parameter, Rend. Accad. Naz. Sci. Mem. Mat. 107 (1989), 281–295. (1989) Zbl0702.35168MR1041756
- 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
- 10.1023/A:1006533606338, Acta Math. Hungar. 76 (1997), 287–301. (1997) MR1459237DOI10.1023/A:1006533606338
- 10.1023/A:1006539007972, Acta Math. Hungar. 78 (1998), 267–268. (1998) MR1604707DOI10.1023/A:1006539007972
- On a non-convex hyperbolic differential inclusion, Proc. Edinburgh Math. Soc. 35 (1992), 375–382. (1992) Zbl0769.34018MR1187000
- A characterization of the solutions of the Darboux problem for the equation , An. Stiint. Univ. Al. I. Cuza Iasi Mat. 33 (1987), 33–38. (1987) MR0925687
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.