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On the Kneser-Hukuhara property for an integro-differential equation in Banach spaces

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Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications 2010
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[1] ALEXANDROV, V. A.-DAIRBEKOV, N. S.: Remarks on the theorem of M. and S. Radulescu about an initial value problem for the differential equation x(n) = f(t, x), Rev. Roumaine Math. Pures Appl. 37 (1992), 95-102.Search in Google Scholar

[2] BANA´ S, J.-GOEBEL, K.: Measures of Noncompactness in Banach Spaces, in: Lecture Notes in Pure and Appl. Math., Vol. 60, Marcel Dekker, New York, 1980.Search in Google Scholar

[3] CRAMER, E.-LAKSHMIKANTHAM, V.-MITCHELL, A. R.: On the existence of weak solutions of differential equations in nonreflexive Banach spaces, Nonlinear Anal. 2 (1978), 169-177.10.1016/0362-546X(78)90063-9Search in Google Scholar

[4] DIESTEL, J.: Sequences and Series in Banach Spaces. Springer-Verlag, New York, 1984.10.1007/978-1-4612-5200-9Search in Google Scholar

[5] DE BLASI, F. S.: On a property of the unit sphere in a Banach space, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 21 (1977), 259-262.Search in Google Scholar

[6] HUKUHARA, M: Sur l’application qui fait correspondre ´a un point un continu bicompact, Proc. Japan Acad. Ser. A Math. Sci. 31 (1955), 5-7.Search in Google Scholar

[7] SZEP, A.: Existence theorems for weak solutions of ordinary differential equations in re- flexive Banach spaces, Studia Sci. Math. Hunngar. 6 (1971), 197-203.Search in Google Scholar

[8] SZUFLA, S.: Osgood type conditions for an m-th order differential equation, Discuss. Math. Differential Incl. 18 (1998), 45-55.Search in Google Scholar

[9] SZUFLA, S.: Kneser’s theorem for weak solutions of an mth-order ordinary differential equation in Banach spaces, Nonlinear Anal. 38 (1999), 785-791.10.1016/S0362-546X(98)00153-9Search in Google Scholar

ISSN:
1210-3195
Langue:
Anglais
Périodicité:
3 fois par an
Sujets de la revue:
Mathematics, General Mathematics