Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach

Tiziana Cardinali; Lucia Santori

Commentationes Mathematicae Universitatis Carolinae (2011)

  • Volume: 52, Issue: 1, page 115-125
  • ISSN: 0010-2628

Abstract

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In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.

How to cite

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Cardinali, Tiziana, and Santori, Lucia. "Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach." Commentationes Mathematicae Universitatis Carolinae 52.1 (2011): 115-125. <http://eudml.org/doc/246409>.

@article{Cardinali2011,
abstract = {In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.},
author = {Cardinali, Tiziana, Santori, Lucia},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semilinear differential inclusion; selection theorem; mild solution; lower Scorza Dragoni multifunction; mild periodic solution; semilinear differential inclusion; selection theorem; mild solution; lower Scorza Dragoni multifunction; mild periodic solution},
language = {eng},
number = {1},
pages = {115-125},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach},
url = {http://eudml.org/doc/246409},
volume = {52},
year = {2011},
}

TY - JOUR
AU - Cardinali, Tiziana
AU - Santori, Lucia
TI - Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 1
SP - 115
EP - 125
AB - In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.
LA - eng
KW - semilinear differential inclusion; selection theorem; mild solution; lower Scorza Dragoni multifunction; mild periodic solution; semilinear differential inclusion; selection theorem; mild solution; lower Scorza Dragoni multifunction; mild periodic solution
UR - http://eudml.org/doc/246409
ER -

References

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