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Nonlinear boundary value problems in Banach spaces for multivalue differential equations on a non-compact interval. (English) Zbl 0443.34060


MSC:

34G20 Nonlinear differential equations in abstract spaces
34B15 Nonlinear boundary value problems for ordinary differential equations
34A60 Ordinary differential inclusions
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[1] Scrucca, E., Un problema ai limiti quasi lineare in spazi di Banach, Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur., 42, 361-364 (1966) · Zbl 0166.12801
[2] Cecchi M., Marini M. & Zezza P.L., Linear boundary value problems for systems of ordinary differential equations on non compact intervals. Ann. Mat. Pura Appl.; Cecchi M., Marini M. & Zezza P.L., Linear boundary value problems for systems of ordinary differential equations on non compact intervals. Ann. Mat. Pura Appl. · Zbl 0442.34016
[3] Anichini, G.; Zecca, P., Problemi ai limiti per equazioni differenziali multivoche su intervalli non compatti, Rivista mat. Univ. Parma, 1, 199-212 (1975) · Zbl 0359.34057
[4] Anichini, G.; Zecca, P., Multivalued differential equations in Banach spaces, an application to control theory, J. Optimization Theory appl., 21, 477-486 (1977) · Zbl 0336.93020
[5] Conti, R., Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. Un. mat. Ital., 22, 135-178 (1967) · Zbl 0154.09101
[6] Lasota, A.; Opial, Z., An application of the Kakutani-Ky-Fan theorem in the theory of ordinary differential equations, Bull. Acad. pol. Sci. ser. Sci. math. astr. phys., 13, 781-786 (1965) · Zbl 0151.10703
[7] Ky-Fan, Fixed point and minimax theorems in locally convex topological linear spaces, Proc. natn. Acad. Sci. U.S.A., 38, 121-126 (1952) · Zbl 0047.35103
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