Teoremi di esistenza nella teoria dei controlli ottimi in dimensione infinita

Tullio Zolezzi

Rendiconti del Seminario Matematico della Università di Padova (1968)

  • Volume: 41, page 72-96
  • ISSN: 0041-8994

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Zolezzi, Tullio. "Teoremi di esistenza nella teoria dei controlli ottimi in dimensione infinita." Rendiconti del Seminario Matematico della Università di Padova 41 (1968): 72-96. <http://eudml.org/doc/107310>.

@article{Zolezzi1968,
author = {Zolezzi, Tullio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {control theory},
language = {ita},
pages = {72-96},
publisher = {Seminario Matematico of the University of Padua},
title = {Teoremi di esistenza nella teoria dei controlli ottimi in dimensione infinita},
url = {http://eudml.org/doc/107310},
volume = {41},
year = {1968},
}

TY - JOUR
AU - Zolezzi, Tullio
TI - Teoremi di esistenza nella teoria dei controlli ottimi in dimensione infinita
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1968
PB - Seminario Matematico of the University of Padua
VL - 41
SP - 72
EP - 96
LA - ita
KW - control theory
UR - http://eudml.org/doc/107310
ER -

References

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  1. [1] Dieudonnè, Surle théorème de Lebesgue-Nikodym (V). Can. J. Math.3 (1951), 129-139. Zbl0042.35501MR44611
  2. [2] Dunford-Schwartz, Linear Operators, part. I. Interscience, 1958. Zbl0084.10402
  3. [3] Zolezzi, Teoremi di esistenza nella teoria dei controlli ottimi in dimensione finita. Rend. Sem. Mat. Padova (1967), vol. 34, 163-176. Zbl0155.15302MR223955
  4. [4) Phillips, On linear transformations. Trans. A. M. S. vol. 48 (1940), 516-541. Zbl0025.34202MR4094
  5. [5] Dieudonné, Foundations of modern analysis. Academic Press, 1960. Zbl0100.04201MR120319
  6. [6] Krasnosel'skii, Topological methods in the theory of non linear integral equations. Pergamon Press, 1964. 
  7. [7] Kakutani, Concrete representation of abstract (L)-spaces and the mean ergodic theorem. Ann. of Math. vol. 42 n. 2 (1941), 523-537. Zbl0027.11102MR4095
  8. [8] Grothendieck, Sur les applications lineaires faiblement compactes d'espaces du type C(K). Can. J. Math. vol. 5 (1953), 129-173. Zbl0050.10902MR58866
  9. [9] Graves, Theory of functions of a real variable. II edizione. MeGraw-Hill, 1956. 
  10. [10] Browder, Remarks on the direct methods of the calculus of variations. Arch. Rat. Mech. An.20 (1965), 251-258. Zbl0135.32404MR187122
  11. [11] Bochner - Taylor, Linear Functionals on certain spaces of abstractly-valued functions. Ann. of Math. vol. 39 n. 4 (1938), 913-944. Zbl0020.37101MR1503445
  12. [12] Berge, Topological spaces, Oliver and Boyd, 1963. 
  13. [13] Friedman, Optimal control for parabolic equations. J. Math. An. Appl. vol. 18 n. 3 (1967), 479-491. Zbl0156.31806
  14. [13] Friedman, Optimal control in Banach spaces. J. Math. An. Appl. vol. 19 n. 1 (1967), 35-55. Zbl0155.15902
  15. [14] Balakrishnan, Optimal control problems in Banach spacesJ. Siam. Control, ser. A, vol. 3 n. 1 (1965) 152-180. Zbl0178.44601MR207422
  16. [15] Nashed, Supportably and weakly convex functionals with applications to approxinzation theory and nonlinear programming. J. Math. An. Appl.18 (1967) 504-521. Zbl0153.17301MR209839
  17. [16] Kakutani, Concrete representation of abstract (M)-spaces. Ann. of. Math.42 (1941), 994-1024. Zbl0060.26604MR5778
  18. [17] Poulsen, Evolutionsgleichungen in Banach-Raeumen. Math. Zeitschrift. 90 (1965), 286-309. Zbl0141.13102MR186952
  19. [18] Vainberg, Variational methods for the study of nonlinear operators. Holden-Day, 1964. Zbl0122.35501MR176364
  20. [19] Yosida, Functional Analysis. Springer, 1966. 
  21. [20] Frifdman, Remarks on nonlinear parabolic equations. Proceedings of Symp. in Applied. Math. vol. XVII (1964), 3-23 Zbl0192.19601MR186938
  22. [21] Lions, On some optimization problems for linear parabolic equations. Fnnctional Analysis and Optimization, edited by E. Caianiello, 115-131. Academic Press, 1966. Zbl0182.43101MR231026
  23. [22] Lions, Optimisation pour certaines classes d'équations d'évolutions non linéaires. Ann. Mat. Pura e Appl.72 (1966), 275-294. Zbl0151.15003
  24. [23] Conti, On some aspects of linear control theory. Math. Theory of Control. Proc. of a Conference held at the U. S. C. L. A. (1967), edited by Balakrishnan and Neustadt. Academic Press1967, 285-300. Zbl0224.93022MR275942

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