Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions

Abdelkader Belarbi; Mouffak Benchohra; Abdelghani Ouahab

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 1, page 1-7
  • ISSN: 0044-8753

Abstract

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In this paper we investigate the existence of multiple positive solutions for nonlinear boundary value problems with integral boundary conditions. We shall rely on the Leggett-Williams fixed point theorem.

How to cite

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Belarbi, Abdelkader, Benchohra, Mouffak, and Ouahab, Abdelghani. "Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions." Archivum Mathematicum 044.1 (2008): 1-7. <http://eudml.org/doc/250434>.

@article{Belarbi2008,
abstract = {In this paper we investigate the existence of multiple positive solutions for nonlinear boundary value problems with integral boundary conditions. We shall rely on the Leggett-Williams fixed point theorem.},
author = {Belarbi, Abdelkader, Benchohra, Mouffak, Ouahab, Abdelghani},
journal = {Archivum Mathematicum},
keywords = {multiple solutions; Leggett-Williams fixed point theorem; nonlinear boundary value problem; integral boundary conditions; multiple solution; Leggett-Williams fixed point theorem; nonlinear boundary value problem; integral boundary condition},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions},
url = {http://eudml.org/doc/250434},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Belarbi, Abdelkader
AU - Benchohra, Mouffak
AU - Ouahab, Abdelghani
TI - Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 1
SP - 1
EP - 7
AB - In this paper we investigate the existence of multiple positive solutions for nonlinear boundary value problems with integral boundary conditions. We shall rely on the Leggett-Williams fixed point theorem.
LA - eng
KW - multiple solutions; Leggett-Williams fixed point theorem; nonlinear boundary value problem; integral boundary conditions; multiple solution; Leggett-Williams fixed point theorem; nonlinear boundary value problem; integral boundary condition
UR - http://eudml.org/doc/250434
ER -

References

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  2. Agarwal, R. P., O’Regan, D., Wong, P. J. Y., Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999. (1999) MR1680024
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  9. Karakostas, G. L., Tsamatos, P. Ch., Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems, Electron. J. Differential Equations 30 (2002), 17. (2002) Zbl0998.45004MR1907706
  10. Khan, R. A., The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions, Electron. J. Qual. Theory Differ. Equ. 19 (2003), 15. (2003) Zbl1055.34033MR2039793
  11. Krall, A. M., 10.1090/S0002-9939-1965-0181794-9, Proc. Amer. Math. Soc. 16 (1965), 738–742. (1965) MR0181794DOI10.1090/S0002-9939-1965-0181794-9
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  13. Lomtatidze, A., Malaguti, L., On a nonlocal boundary value problem for second order nonlinear singular differential equations, Georgian Math. J. 7 (2000), 133–154. (2000) Zbl0967.34011MR1768050

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