Existence and stability of solutions for autonomous multivalued differential equations in Banach space
- Volume: 60, Issue: 6, page 767-774
- ISSN: 0392-7881
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top- 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
- CASTAING, C. (1969) - Un théorème de compacité faible dans , Faculté des Sciences de Montpellier, Publication n. 44. MR246120
- 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
- CELLINA, A. (1971) - On the existence of solutions of ordinary differential equations in Banach spaces, «Funkcial. Ekvac.», 14, 129-136. Zbl0271.34071MR304805
- 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
- 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
- DE BLASI, F. S. - On the differentiability of multifunctions, «Pacific J. Math.», (to appear). Zbl0348.58004MR445534
- 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
- DUNFORD, N. and SCHWARTZ, J. T. (1959) - Linear operators, Part I, Wiley (Interscience), New York. MR188745
- HILLE, E. and PHILLIPS, R. S. (1957) - Functional analysis and semi-groups, «American Mathematical Society», Providence, R.I. Zbl0078.10004MR89373
- LAKSHMIKANTHAM, V. (1974) - Stability and asymptotic behavior of solutions of differential equations in a Banach space, in «Stability Problems», CIME, Edizioni Cremonese, Roma. MR508654
- MUHSINOV, A. M. (1974) - On differential inclusions in Banach spaces, «Soviet Math. Dokl.», 15, 1122-1125. Zbl0313.34069MR355591
- 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
- SADOVSKII, B. N. (1972) - Limit-compact and condensing operators, «Uspehi Mat. Nauk.», 271 (in Russian). «Eng. Trans., Russian Math. Survey», 85-155. MR428132
- 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