A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 95-106
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In this paper, the existence and the localization result will be proven for vector Dirichlet problem with an upper-Carathéodory right-hand side. The result will be obtained by combining the continuation principle with bound sets technique.
In this paper, the existence and the localization result will be proven for vector Dirichlet problem with an upper-Carathéodory right-hand side. The result will be obtained by combining the continuation principle with bound sets technique.
Classification :
34A60, 34B15
Keywords: Dirichlet problem; upper-Carathéodory differential inclusions; bounding functions
Keywords: Dirichlet problem; upper-Carathéodory differential inclusions; bounding functions
@article{AUPO_2010_49_2_a7,
author = {Pavla\v{c}kov\'a, Martina},
title = {A bound sets technique for {Dirichlet} problem with an {upper-Carath\'eodory} right-hand side},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {95--106},
year = {2010},
volume = {49},
number = {2},
mrnumber = {2796950},
zbl = {1237.34024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2010_49_2_a7/}
}
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%0 Journal Article %A Pavlačková, Martina %T A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2010 %P 95-106 %V 49 %N 2 %U http://geodesic.mathdoc.fr/item/AUPO_2010_49_2_a7/ %G en %F AUPO_2010_49_2_a7
Pavlačková, Martina. A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 95-106. http://geodesic.mathdoc.fr/item/AUPO_2010_49_2_a7/