| Title:
|
Existence of global solutions to differential inclusions; a priori bounds (English) |
| Author:
|
Cârjă, Ovidiu |
| Author:
|
Lazu, Alina Ilinca |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
137 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
195-200 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper presents an existence result for global solutions to the finite dimensional differential inclusion $y' \in F( y) ,$ $F$ being defined on a closed set $K.$ A priori bounds for such solutions are provided. (English) |
| Keyword:
|
differential inclusion |
| Keyword:
|
global solution |
| Keyword:
|
a priori bound |
| MSC:
|
34A60 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 1265.34044 |
| idMR:
|
MR2978265 |
| DOI:
|
10.21136/MB.2012.142865 |
| . |
| Date available:
|
2012-06-08T10:12:03Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142865 |
| . |
| Reference:
|
[1] Aubin, J. P., Frankowska, H.: Set-Valued Analysis.Birkhäuser, Boston (1990). Zbl 0713.49021, MR 1048347 |
| Reference:
|
[2] Cârjă, O., Lazu, A.: Lyapunov pairs for continuous perturbations of nonlinear evolutions.Nonlinear Anal., Theory Methods Appl. 71 (2009), 1012-1018. Zbl 1173.37009, MR 2527520, 10.1016/j.na.2008.11.022 |
| Reference:
|
[3] Cârjă, O., Motreanu, D.: Characterization of Lyapunov pairs in the nonlinear case and applications.Nonlinear Anal., Theory Methods Appl. 70 (2009), 352-363. Zbl 1172.34039, MR 2468242 |
| Reference:
|
[4] Cârjă, O., Necula, M., Vrabie, I. I.: Viability, Invariance and Applications.North-Holland Mathematics Studies 207, Elsevier, Amsterdam (2007). Zbl 1239.34068, MR 2488820 |
| Reference:
|
[5] Clarke, F. H., Ledyaev, Yu. S., Stern, R. J., Wolenski, P. R.: Nonsmooth Analysis and Control Theory.Graduate Texts in Mathematics 178, Springer, New York (1998). Zbl 1047.49500, MR 1488695 |
| Reference:
|
[6] Fattorini, H. O.: Infinite Dimensional Optimization and Control Theory.Encyclopedia of Mathematics and Its Applications 62, Cambridge University Press, Cambridge (1999). Zbl 0931.49001, MR 1669395 |
| . |
