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Title: Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces (English)
Author: Ozdarska, Danuta
Author: Szufla, Stanisław
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 43
Issue: 3
Year: 1993
Pages: 301-307
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Category: math
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MSC: 34B15
MSC: 34G20
idZBL: Zbl 0782.34067
idMR: MR1241366
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Date available: 2009-09-25T10:48:30Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136582
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Reference: [2] CHANDRA J., LAKSHMIKANTHAM V., MITCHELL A. R.: Existence of solutions of boundary value problems for nonlinear second order systems in Banach space.Nonlinear Anal. 2 (1978), 157-168. MR 0512279
Reference: [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. Zbl 0379.34041, MR 0512280
Reference: [4] DE BLASI F. S.: On a property of the unit sphere in a Banach space.Bull. Math. Soc. Sci. Math. R. S. Roumanie 21 (1977), 259-262. Zbl 0365.46015, MR 0482402
Reference: [5] DIESTEL J.: Sequences and Series in Banach Spaces.Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1983. MR 0737004
Reference: [6] HARTMANN P.: Ordinary Differential Equations.J. Wiley, New York-London, 1964. MR 0171038
Reference: [7] KELLY J. L.: General Topology.Van Nostrand, Toronto-New York-London, 1957.
Reference: [8] MÖNCH H.: Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces.Nonlinear Anal. 4 (1980), 985-999. Zbl 0462.34041, MR 0586861
Reference: [9] SCORZA-DRAGONI G.: Sul problema dei valori a limiti per i systemi di equazioni differenziali del secondo ordine.Boll. Un. Mat. Ital. 14 (1935), 225-230.
Reference: [10] SZEP A.: Existence theorem for weak solutions of ordinary differential equations in reflexive Banach spaces.Studia Sci. Math. Hungar. 6 (1971), 197-203. MR 0330688
Reference: [11] SZUFLA S.: Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces.Nonlinear Anal. 8 (1984), 1481-1487. Zbl 0561.34048, MR 0769409
Reference: [12] SZUFLA S.: Sets of fixed points of nonlinear mappings in function spaces.Funkcial. Ekvac. 22 (1979), 121-126. Zbl 0419.47025, MR 0551256
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