Existence of global solutions to differential inclusions; a priori bounds
Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 195-200

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
DOI : 10.21136/MB.2012.142865
Classification : 34A60, 34C11
Keywords: differential inclusion; global solution; a priori bound
Cârjă, Ovidiu; Lazu, Alina Ilinca. Existence of global solutions to differential inclusions; a priori bounds. Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 195-200. doi: 10.21136/MB.2012.142865
@article{10_21136_MB_2012_142865,
     author = {C\^arj\u{a}, Ovidiu and Lazu, Alina Ilinca},
     title = {Existence of global solutions to differential inclusions; a priori bounds},
     journal = {Mathematica Bohemica},
     pages = {195--200},
     year = {2012},
     volume = {137},
     number = {2},
     doi = {10.21136/MB.2012.142865},
     mrnumber = {2978265},
     zbl = {1265.34044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142865/}
}
TY  - JOUR
AU  - Cârjă, Ovidiu
AU  - Lazu, Alina Ilinca
TI  - Existence of global solutions to differential inclusions; a priori bounds
JO  - Mathematica Bohemica
PY  - 2012
SP  - 195
EP  - 200
VL  - 137
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142865/
DO  - 10.21136/MB.2012.142865
LA  - en
ID  - 10_21136_MB_2012_142865
ER  - 
%0 Journal Article
%A Cârjă, Ovidiu
%A Lazu, Alina Ilinca
%T Existence of global solutions to differential inclusions; a priori bounds
%J Mathematica Bohemica
%D 2012
%P 195-200
%V 137
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142865/
%R 10.21136/MB.2012.142865
%G en
%F 10_21136_MB_2012_142865

[1] Aubin, J. P., Frankowska, H.: Set-Valued Analysis. Birkhäuser, Boston (1990). | MR | Zbl

[2] Cârjă, O., Lazu, A.: Lyapunov pairs for continuous perturbations of nonlinear evolutions. Nonlinear Anal., Theory Methods Appl. 71 (2009), 1012-1018. | DOI | MR | Zbl

[3] Cârjă, O., Motreanu, D.: Characterization of Lyapunov pairs in the nonlinear case and applications. Nonlinear Anal., Theory Methods Appl. 70 (2009), 352-363. | MR | Zbl

[4] Cârjă, O., Necula, M., Vrabie, I. I.: Viability, Invariance and Applications. North-Holland Mathematics Studies 207, Elsevier, Amsterdam (2007). | MR | Zbl

[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). | MR | Zbl

[6] Fattorini, H. O.: Infinite Dimensional Optimization and Control Theory. Encyclopedia of Mathematics and Its Applications 62, Cambridge University Press, Cambridge (1999). | MR | Zbl

Cité par Sources :