Electron. J. Diff. Equ., Vol. 2014 (2014), No. 19, pp. 1-13.

Second-order boundary-value problems with integral boundary conditions on the real line

Fulya Yoruk Deren, Nuket Aykut Hamal

Abstract:
This article shows the existence and multiplicity of nonnegative solutions for nonlinear boundary-value problems with integral boundary conditions on the whole line. The arguments are based upon the Krasnoselskii' s fixed point theorem of cone expansion-compression type. An example is given to demonstrate our results.

Submitted October 16, 2013. Published January 10, 2014.
Math Subject Classifications: 34B10, 39A10, 34B18, 45G10.
Key Words: Integral boundary conditions; Fixed-point theorem; infinite interval.

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Fulya Yoruk Deren
Department of Mathematics, Ege University
35100 Bornova, Izmir, Turkey
email: fulya.yoruk@ege.edu.tr
  Nuket Aykut Hamal
Department of Mathematics, Ege University
35100 Bornova, Izmir, Turkey
email: nuket.aykut@ege.edu.tr

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