Existence of global solutions to differential inclusions; a priori bounds

Ovidiu Cârjă; Alina Ilinca Lazu

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 2, page 195-200
  • ISSN: 0862-7959

Abstract

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The paper presents an existence result for global solutions to the finite dimensional differential inclusion y ' ∈ F ( y ) , F being defined on a closed set K . A priori bounds for such solutions are provided.

How to cite

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Cârjă, Ovidiu, and Lazu, Alina Ilinca. "Existence of global solutions to differential inclusions; a priori bounds." Mathematica Bohemica 137.2 (2012): 195-200. <http://eudml.org/doc/247165>.

@article{Cârjă2012,
abstract = {The paper presents an existence result for global solutions to the finite dimensional differential inclusion $y^\{\prime \} \in F( y) ,$$F$ being defined on a closed set $K.$ A priori bounds for such solutions are provided.},
author = {Cârjă, Ovidiu, Lazu, Alina Ilinca},
journal = {Mathematica Bohemica},
keywords = {differential inclusion; global solution; a priori bound; differential inclusion; global solution; a priori bound},
language = {eng},
number = {2},
pages = {195-200},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of global solutions to differential inclusions; a priori bounds},
url = {http://eudml.org/doc/247165},
volume = {137},
year = {2012},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 2
SP - 195
EP - 200
AB - The paper presents an existence result for global solutions to the finite dimensional differential inclusion $y^{\prime } \in F( y) ,$$F$ being defined on a closed set $K.$ A priori bounds for such solutions are provided.
LA - eng
KW - differential inclusion; global solution; a priori bound; differential inclusion; global solution; a priori bound
UR - http://eudml.org/doc/247165
ER -

References

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  1. Aubin, J. P., Frankowska, H., Set-Valued Analysis, Birkhäuser, Boston (1990). (1990) Zbl0713.49021MR1048347
  2. Cârjă, O., Lazu, A., 10.1016/j.na.2008.11.022, Nonlinear Anal., Theory Methods Appl. 71 (2009), 1012-1018. (2009) Zbl1173.37009MR2527520DOI10.1016/j.na.2008.11.022
  3. Cârjă, O., Motreanu, D., Characterization of Lyapunov pairs in the nonlinear case and applications, Nonlinear Anal., Theory Methods Appl. 70 (2009), 352-363. (2009) Zbl1172.34039MR2468242
  4. Cârjă, O., Necula, M., Vrabie, I. I., Viability, Invariance and Applications, North-Holland Mathematics Studies 207, Elsevier, Amsterdam (2007). (2007) Zbl1239.34068MR2488820
  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). (1998) Zbl1047.49500MR1488695
  6. Fattorini, H. O., Infinite Dimensional Optimization and Control Theory, Encyclopedia of Mathematics and Its Applications 62, Cambridge University Press, Cambridge (1999). (1999) Zbl0931.49001MR1669395

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