Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces

Danuta Ozdarska; Stanisław Szufla

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 3, page 301-307
  • ISSN: 0232-0525

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Ozdarska, Danuta, and Szufla, Stanisław. "Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces." Mathematica Slovaca 43.3 (1993): 301-307. <http://eudml.org/doc/34360>.

@article{Ozdarska1993,
author = {Ozdarska, Danuta, Szufla, Stanisław},
journal = {Mathematica Slovaca},
keywords = {measure of weak noncompactness; existence of a weak solution; boundary value problem; Banach space},
language = {eng},
number = {3},
pages = {301-307},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces},
url = {http://eudml.org/doc/34360},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Ozdarska, Danuta
AU - Szufla, Stanisław
TI - Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 3
SP - 301
EP - 307
LA - eng
KW - measure of weak noncompactness; existence of a weak solution; boundary value problem; Banach space
UR - http://eudml.org/doc/34360
ER -

References

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  1. AMBROSETTI A., Un teorema di esistenza per le equozioni differenziali negli spazi di Banach, Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. (1967) MR0222426
  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. (1978) MR0512279
  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. (1978) Zbl0379.34041MR0512280
  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. (1977) Zbl0365.46015MR0482402
  5. DIESTEL J., Sequences and Series in Banach Spaces, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1983. (1983) MR0737004
  6. HARTMANN P., Ordinary Differential Equations, J. Wiley, New York-London, 1964. (1964) MR0171038
  7. KELLY J. L., General Topology, Van Nostrand, Toronto-New York-London, 1957. (1957) 
  8. MÖNCH H., Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces, Nonlinear Anal. 4 (1980), 985-999. (1980) Zbl0462.34041MR0586861
  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. (1935) 
  10. SZEP A., Existence theorem for weak solutions of ordinary differential equations in reflexive Banach spaces, Studia Sci. Math. Hungar. 6 (1971), 197-203. (1971) MR0330688
  11. SZUFLA S., Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces, Nonlinear Anal. 8 (1984), 1481-1487. (1984) Zbl0561.34048MR0769409
  12. SZUFLA S., Sets of fixed points of nonlinear mappings in function spaces, Funkcial. Ekvac. 22 (1979), 121-126. (1979) Zbl0419.47025MR0551256

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