A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side

Martina Pavlačková

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)

  • Volume: 49, Issue: 2, page 95-106
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Pavlačková, Martina. "A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.2 (2010): 95-106. <http://eudml.org/doc/116517>.

@article{Pavlačková2010,
abstract = {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.},
author = {Pavlačková, Martina},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Dirichlet problem; upper-Carathéodory differential inclusions; bounding functions; Dirichlet problem; upper-Caratheodory differential inclusions; bounding functions},
language = {eng},
number = {2},
pages = {95-106},
publisher = {Palacký University Olomouc},
title = {A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side},
url = {http://eudml.org/doc/116517},
volume = {49},
year = {2010},
}

TY - JOUR
AU - Pavlačková, Martina
TI - A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 2
SP - 95
EP - 106
AB - 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.
LA - eng
KW - Dirichlet problem; upper-Carathéodory differential inclusions; bounding functions; Dirichlet problem; upper-Caratheodory differential inclusions; bounding functions
UR - http://eudml.org/doc/116517
ER -

References

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  2. Andres, J., Pavlačková, M., 10.1016/j.na.2008.12.013, Nonlin. Anal. 71, 5–6 (2009), 1462–1473. (2009) Zbl1182.34038MR2524361DOI10.1016/j.na.2008.12.013
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  10. Kožušníková, M., A bounding functions approach to multivalued Dirichlet problem, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 55 (2007), 1–19. (2007) Zbl1202.34036MR2458792
  11. Kyritsi, S., Matzakos, N., Papageorgiou, N. S., 10.1007/s10587-005-0046-5, Czechoslovak Math. J. 55 (2005), 545–579. (2005) Zbl1081.34020MR2153083DOI10.1007/s10587-005-0046-5
  12. Miklaszewski, D., The two-point problem for nonlinear ordinary differential equations and differential inclusions, Univ. Iagell Acta Math. 36 (1998), 127–132. (1998) Zbl1002.34011MR1661330
  13. Palmucci, M., Papalini, F., 10.1155/S1048953301000120, J. of Applied Math. and Stoch. Anal. 14 (2001), 161–182. (2001) Zbl1014.34009MR1838344DOI10.1155/S1048953301000120
  14. Zuev, A. V., On the Dirichlet problem for a second-order ordinary differential equation with discontinuous right-hand side, Diff. Urav. 42 (2006), 320–326. (2006) Zbl1133.34309MR2290542

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