φ -Laplacian BVPs with linear bounded operator conditions

Kamal Bachouche; Smaïl Djebali; Toufik Moussaoui

Archivum Mathematicum (2012)

  • Volume: 048, Issue: 2, page 121-137
  • ISSN: 0044-8753

Abstract

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The aim of this paper is to present new existence results for φ -Laplacian boundary value problems with linear bounded operator conditions. Existence theorems are obtained using the Schauder and the Krasnosel’skii fixed point theorems. Some examples illustrate the results obtained and applications to multi-point boundary value problems are provided.

How to cite

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Bachouche, Kamal, Djebali, Smaïl, and Moussaoui, Toufik. "$\phi $-Laplacian BVPs with linear bounded operator conditions." Archivum Mathematicum 048.2 (2012): 121-137. <http://eudml.org/doc/246448>.

@article{Bachouche2012,
abstract = {The aim of this paper is to present new existence results for $\phi $-Laplacian boundary value problems with linear bounded operator conditions. Existence theorems are obtained using the Schauder and the Krasnosel’skii fixed point theorems. Some examples illustrate the results obtained and applications to multi-point boundary value problems are provided.},
author = {Bachouche, Kamal, Djebali, Smaïl, Moussaoui, Toufik},
journal = {Archivum Mathematicum},
keywords = {$\phi $-Laplacian; BVPs; Krasnosel’skii’s fixed point theorem; Schauder’s fixed point theorem; -Laplacian; boundary value problem; Krasnoselskii's fixed point theorem; Schauder's fixed point theorem},
language = {eng},
number = {2},
pages = {121-137},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {$\phi $-Laplacian BVPs with linear bounded operator conditions},
url = {http://eudml.org/doc/246448},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Bachouche, Kamal
AU - Djebali, Smaïl
AU - Moussaoui, Toufik
TI - $\phi $-Laplacian BVPs with linear bounded operator conditions
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 2
SP - 121
EP - 137
AB - The aim of this paper is to present new existence results for $\phi $-Laplacian boundary value problems with linear bounded operator conditions. Existence theorems are obtained using the Schauder and the Krasnosel’skii fixed point theorems. Some examples illustrate the results obtained and applications to multi-point boundary value problems are provided.
LA - eng
KW - $\phi $-Laplacian; BVPs; Krasnosel’skii’s fixed point theorem; Schauder’s fixed point theorem; -Laplacian; boundary value problem; Krasnoselskii's fixed point theorem; Schauder's fixed point theorem
UR - http://eudml.org/doc/246448
ER -

References

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  4. Benmezai, A., Djebali, S., Moussaoui, T., Existence results for one-dimensional Dirichlet φ –Laplacian BVPs: a fixed point approach, Dynam. Systems Appl. 17 (2008), 149–166. (2008) MR2433897
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