Boundary value problems with nonlinear boundary conditions in Banach spaces

Giuseppe Marino; Paolamaria Pietramala

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 711-721
  • ISSN: 0010-2628

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Marino, Giuseppe, and Pietramala, Paolamaria. "Boundary value problems with nonlinear boundary conditions in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 711-721. <http://eudml.org/doc/17892>.

@article{Marino1990,
author = {Marino, Giuseppe, Pietramala, Paolamaria},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {evolution operator; boundary value problem; nonlinear operator; existence of a solution; Banach space; Schaefer's fixed point theorem},
language = {eng},
number = {4},
pages = {711-721},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Boundary value problems with nonlinear boundary conditions in Banach spaces},
url = {http://eudml.org/doc/17892},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Marino, Giuseppe
AU - Pietramala, Paolamaria
TI - Boundary value problems with nonlinear boundary conditions in Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 711
EP - 721
LA - eng
KW - evolution operator; boundary value problem; nonlinear operator; existence of a solution; Banach space; Schaefer's fixed point theorem
UR - http://eudml.org/doc/17892
ER -

References

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  2. Conti R., Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. U.M.I. XXII (1967), 135-178. (1967) Zbl0154.09101MR0218650
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  5. Kartsatos A. G., Non zero solutions to boundary value problems for nonlinear systems, Pacific J. Math. 53 (1974), 425-433. (1974) MR0377164
  6. Furi M., Martelli M., Vignoli A., Stably-solvable operators in Banach spaces, Atti Accad. Naz. Lincei Rend. Cl. Sc. Mat. Fis. Nat. VIII, LX (1976), 21-26. (1976) Zbl0361.47024MR0487632
  7. Anichini G., Nonlinear problems for systems of differential equations, Nonlin. Anal. TMA 1 (1977), 691-699. (1977) Zbl0388.34011MR0592963
  8. Anichini G., Conti G., Boundary-value problems with nonlinear boundary conditions, Nonlinearity 1 (1988), 1-10. (1988) Zbl0672.34022MR0967470
  9. MartelH M., A Rothe's type theorem for non compact acyclic-valued maps, Boll. U.M.I. 4, 11 Suppl. fasc. 3 (1975), 70-76. (1975) MR0394752
  10. Schaefer H., Über die Methode der a priori Schranken, Math. Ann. 129 (1955), 415-416. (1955) Zbl0064.35703MR0071723
  11. Hale J. K., Ordinary Differential Equations, Interscience, New York, 1969. (1969) Zbl0186.40901MR0419901
  12. Krein S. G., Linear differential equations in Banach spaces, Trans. Math. Mon. 29, AMS Providence, 1971. (1971) MR0342804
  13. Zecca P., Zezza P., Nonlinear boundary value problems in Banach spaces for multivalued differential equations on a noncompact interval, Nonlin. Anal. TMA 3 (1979), 347-352. (1979) MR0532895
  14. Papageorgiou N. S., Boundary value problems for evolution inclusions, Comm. Math. Univ. Carolinae 29 (1988), 355-363. (1988) Zbl0696.35074MR0957404

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