Existence and stability of solutions for autonomous multivalued differential equations in Banach space

Francesco S. De Blasi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1976)

  • Volume: 60, Issue: 6, page 767-774
  • ISSN: 0392-7881

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De Blasi, Francesco S.. "Existence and stability of solutions for autonomous multivalued differential equations in Banach space." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 60.6 (1976): 767-774. <http://eudml.org/doc/291096>.

@article{DeBlasi1976,
author = {De Blasi, Francesco S.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {6},
number = {6},
pages = {767-774},
publisher = {Accademia Nazionale dei Lincei},
title = {Existence and stability of solutions for autonomous multivalued differential equations in Banach space},
url = {http://eudml.org/doc/291096},
volume = {60},
year = {1976},
}

TY - JOUR
AU - De Blasi, Francesco S.
TI - Existence and stability of solutions for autonomous multivalued differential equations in Banach space
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1976/6//
PB - Accademia Nazionale dei Lincei
VL - 60
IS - 6
SP - 767
EP - 774
LA - eng
UR - http://eudml.org/doc/291096
ER -

References

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  1. AMBROSETTI, A. (1967) - Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, «Rend. Sem. Mat. Univ. Padova», 39, 349-361. Zbl0174.46001MR222426
  2. CASTAING, C. (1969) - Un théorème de compacité faible dans L k 1 , Faculté des Sciences de Montpellier, Publication n. 44. MR246120
  3. CASTAING, C. and VALADIER, M. (1969) - Equations dfférentielles multivoques dans les espaces vectoriels localement convexes, «Rev. Française Automat. Informât. Recherche Opérationelle», 16, 3-16. Zbl0186.21004MR247237
  4. CELLINA, A. (1971) - On the existence of solutions of ordinary differential equations in Banach spaces, «Funkcial. Ekvac.», 14, 129-136. Zbl0271.34071MR304805
  5. SHUI-NEE CHOW, and SCHUUR, I. D. (1973) - Fundamental theory of contingent differential equations in Banach space, «Trans. Amer. Mat. Soc.», 179, 133-144. Zbl0282.34042MR324162DOI10.2307/1996494
  6. DAURES, J. P. (1970) - Contribution à l'étude des équations differentielles multivoques dans les espaces de Banach, «C.R. Acad. Sci. Paris, Sér. A», 270, 769-772. Zbl0199.20902MR268492
  7. DE BLASI, F. S. - On the differentiability of multifunctions, «Pacific J. Math.», (to appear). Zbl0348.58004MR445534
  8. DEBREU, G. (1967) - Integration of corrispondences, in «Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability», Vol. II, part. 1, p. 351-372, University of California Press, Los Angeles. MR228252
  9. DUNFORD, N. and SCHWARTZ, J. T. (1959) - Linear operators, Part I, Wiley (Interscience), New York. MR188745
  10. HILLE, E. and PHILLIPS, R. S. (1957) - Functional analysis and semi-groups, «American Mathematical Society», Providence, R.I. Zbl0078.10004MR89373
  11. LAKSHMIKANTHAM, V. (1974) - Stability and asymptotic behavior of solutions of differential equations in a Banach space, in «Stability Problems», CIME, Edizioni Cremonese, Roma. MR508654
  12. MUHSINOV, A. M. (1974) - On differential inclusions in Banach spaces, «Soviet Math. Dokl.», 15, 1122-1125. Zbl0313.34069MR355591
  13. PETTIS, P. J. (1938) - A note on regular Banach spaces, «Bull. Amer. Math. Soc.», 44, 420-428. Zbl0019.12202MR1563761DOI10.1090/S0002-9904-1938-06775-4
  14. SADOVSKII, B. N. (1972) - Limit-compact and condensing operators, «Uspehi Mat. Nauk.», 271 (in Russian). «Eng. Trans., Russian Math. Survey», 85-155. MR428132
  15. SZUFLA, S. (1968) - Some remarks on ordinary differential equations in Banach space, «Bull. Acad. Polon. Sci. Sér. Sci. Mat. Astronom. Phys.», 16, 795-800. Zbl0177.18902MR239238

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