$\phi$-Laplacian BVPs with linear bounded operator conditions
Archivum mathematicum, Tome 48 (2012) no. 2, pp. 121-137
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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.
DOI :
10.5817/AM2012-2-121
Classification :
34B10, 34B15, 34B18
Keywords: $\phi$-Laplacian; BVPs; Krasnosel’skii’s fixed point theorem; Schauder’s fixed point theorem
Keywords: $\phi$-Laplacian; BVPs; Krasnosel’skii’s fixed point theorem; Schauder’s fixed point theorem
@article{10_5817_AM2012_2_121,
author = {Bachouche, Kamal and Djebali, Sma{\"\i}l and Moussaoui, Toufik},
title = {$\phi${-Laplacian} {BVPs} with linear bounded operator conditions},
journal = {Archivum mathematicum},
pages = {121--137},
publisher = {mathdoc},
volume = {48},
number = {2},
year = {2012},
doi = {10.5817/AM2012-2-121},
mrnumber = {2946212},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2012-2-121/}
}
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 SP - 121 EP - 137 VL - 48 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2012-2-121/ DO - 10.5817/AM2012-2-121 LA - en ID - 10_5817_AM2012_2_121 ER -
%0 Journal Article %A Bachouche, Kamal %A Djebali, Smaïl %A Moussaoui, Toufik %T $\phi$-Laplacian BVPs with linear bounded operator conditions %J Archivum mathematicum %D 2012 %P 121-137 %V 48 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2012-2-121/ %R 10.5817/AM2012-2-121 %G en %F 10_5817_AM2012_2_121
Bachouche, Kamal; Djebali, Smaïl; Moussaoui, Toufik. $\phi$-Laplacian BVPs with linear bounded operator conditions. Archivum mathematicum, Tome 48 (2012) no. 2, pp. 121-137. doi: 10.5817/AM2012-2-121
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