| Title:
|
On the solution sets of some nonconvex hyperbolic differential inclusions (English) |
| Author:
|
Blasi, Francesco S. de |
| Author:
|
Pianigiani, Giulio |
| Author:
|
Staicu, Vasile |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
107-116 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35L70 |
| MSC:
|
35L99 |
| MSC:
|
35R70 |
| MSC:
|
47H17 |
| MSC:
|
47N20 |
| MSC:
|
49J20 |
| MSC:
|
49J24 |
| idZBL:
|
Zbl 0831.49004 |
| idMR:
|
MR1314533 |
| DOI:
|
10.21136/CMJ.1995.128505 |
| . |
| Date available:
|
2009-09-24T09:44:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128505 |
| . |
| Reference:
|
[1] K. Borsuk: Theory of retracts.PWN Polish Scientific Publishers, Warszawa, 1966. MR 0216473 |
| Reference:
|
[2] A. Bressan, A. Cellina and A. Fryszkowski: A class of absolute retracts in spaces of integrable functions.Proc. Amer. Math. Soc. 111 (1991), 413–418. 10.1090/S0002-9939-1991-1045587-8 |
| Reference:
|
[3] A. Cellina: On the set of solutions to Lipschitzean differential inclusions.Diff. and Integral Equations 1 (1988), 495–500. MR 0945823 |
| Reference:
|
[4] K. Deimling: On solution sets of multivalued differential equations.Applicable Analysis 30 (1988), 129–135. Zbl 0635.34014, MR 0967566, 10.1080/00036818808839797 |
| Reference:
|
[5] N. Dunford and J.T. Schwartz: Linear operators, part I.Interscience, New-York, 1957. |
| Reference:
|
[6] L. Górniewicz and T. Pruszko: On the set of solutions of the Darboux problem for some hyperbolic equations.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 38 (1980), 279–285. MR 0620202 |
| Reference:
|
[7] F. Hiai and H. Umegaki: Integrals, conditional expectations and martingales of multivalued maps.J. Multivariate Anal. 7 (1977), 149–182. MR 0507504, 10.1016/0047-259X(77)90037-9 |
| Reference:
|
[8] C.J. Himmelberg: Measurable relations.Fund. Math. 87 (1975), 59–72. Zbl 0296.28003, MR 0367142, 10.4064/fm-87-1-53-72 |
| Reference:
|
[9] C.J. Himmelberg and F.S. Van Vleck: A note on the solution sets of differential inclusions.Rocky Mountain J. Math. 12 (1982), 621–625. MR 0683856, 10.1216/RMJ-1982-12-4-621 |
| Reference:
|
[10] N.S. Papageorgiou: A property of the solution set of differential inclusions in Banach spaces with Carathéodory orientor field.Applicable Analysis 27 (1988), 279–287. MR 0936472, 10.1080/00036818808839741 |
| Reference:
|
[11] V. Staicu: On a non-convex hyperbolic differential inclusion.Proc. Edinburgh Math. Soc (to appear). Zbl 0769.34018 |
| Reference:
|
[12] G. Teodoru: A characterization of the solutions of the Darboux problem for the equation $z_{xy}\in F(x,y,u)$.An. Ştiinţ. Univ. “Al. I. Cuza” Iaşi Sect. I a Mat. 33 (1987), 33–38. MR 0925687 |
| . |
