Title:
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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:
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English |
Journal:
|
Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
|
43 |
Issue:
|
3 |
Year:
|
1993 |
Pages:
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301-307 |
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Category:
|
math |
. |
MSC:
|
34B15 |
MSC:
|
34G20 |
idZBL:
|
Zbl 0782.34067 |
idMR:
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MR1241366 |
. |
Date available:
|
2009-09-25T10:48:30Z |
Last updated:
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2012-08-01 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/136582 |
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Reference:
|
[1] AMBROSETTI A.: Un teorema di esistenza per le equozioni differenziali negli spazi di Banach.Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. MR 0222426 |
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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