| Title:
|
Variational inclusions for a Sturm-Liouville type differential inclusion (English) |
| Author:
|
Cernea, Aurelian |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
171-178 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish several variational inclusions for solutions of a nonconvex Sturm-Liouville type differential inclusion on a separable Banach space. (English) |
| Keyword:
|
variational inclusion |
| Keyword:
|
tangent cone |
| Keyword:
|
set-valued derivative |
| MSC:
|
34A60 |
| idZBL:
|
Zbl 1224.34197 |
| idMR:
|
MR2723084 |
| DOI:
|
10.21136/MB.2010.140694 |
| . |
| Date available:
|
2010-07-20T18:34:52Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140694 |
| . |
| Reference:
|
[1] Aubin, J. P., Frankowska, H.: Set-Valued Analysis.Birkhäuser, Basel (1990). Zbl 0713.49021, MR 1048347 |
| Reference:
|
[2] Cernea, A.: A Filippov type existence theorem for a class of second-order differential inclusions.J. Ineq. Pure Appl. Math. 9 (2008), Paper No. 35. Zbl 1175.34017, MR 2417317 |
| Reference:
|
[3] Chang, Y. K., Li, W. T.: Existence results for second order impulsive functional differential inclusions.J. Math. Anal. Appl. 301 (2005), 477-490. Zbl 1067.34083, MR 2105687, 10.1016/j.jmaa.2004.07.041 |
| Reference:
|
[4] Dunford, N. S., Schwartz, J. T.: Linear Operators Part I.General Theory. Wiley Interscience, New York (1958). MR 1009162 |
| Reference:
|
[5] Filippov, A. F.: Classical solutions of differential equations with multivalued right-hand side.SIAM J. Control Optim. 5 (1967), 609-621. MR 0220995, 10.1137/0305040 |
| Reference:
|
[6] Frankowska, H.: A priori estimates for operational differential inclusions.J. Differ. Equations 84 (1990), 100-128. Zbl 0715.49010, MR 1042661, 10.1016/0022-0396(90)90129-D |
| Reference:
|
[7] Liu, Y., Wu, J., Li, Z.: Impulsive boundary value problems for Sturm-Liouville type differential inclusions.J. Sys. Sci. Complexity 20 (2007), 370-380. MR 2350506, 10.1007/s11424-007-9032-3 |
| . |
