Existence and controllability for nondensely defined partial neutral functional differential inclusions

Khalil Ezzinbi; Soumia Lalaoui Rhali

Applications of Mathematics (2015)

  • Volume: 60, Issue: 3, page 321-340
  • ISSN: 0862-7940

Abstract

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We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined Hille-Yosida operators. Existence and controllability results are established by combining the theory of addmissible multivalued contractions and Frigon's fixed point theorem. These results are applied to a neutral partial differential inclusion with diffusion.

How to cite

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Ezzinbi, Khalil, and Lalaoui Rhali, Soumia. "Existence and controllability for nondensely defined partial neutral functional differential inclusions." Applications of Mathematics 60.3 (2015): 321-340. <http://eudml.org/doc/270138>.

@article{Ezzinbi2015,
abstract = {We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined Hille-Yosida operators. Existence and controllability results are established by combining the theory of addmissible multivalued contractions and Frigon's fixed point theorem. These results are applied to a neutral partial differential inclusion with diffusion.},
author = {Ezzinbi, Khalil, Lalaoui Rhali, Soumia},
journal = {Applications of Mathematics},
keywords = {nondensely operator; neutral differential inclusion; multivalued map; fixed point; controllability; C$_\{0\}$-semigroup; nondensely operator; neutral differential inclusion; multivalued map; fixed point; controllability; C$_\{0\}$-semigroup},
language = {eng},
number = {3},
pages = {321-340},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence and controllability for nondensely defined partial neutral functional differential inclusions},
url = {http://eudml.org/doc/270138},
volume = {60},
year = {2015},
}

TY - JOUR
AU - Ezzinbi, Khalil
AU - Lalaoui Rhali, Soumia
TI - Existence and controllability for nondensely defined partial neutral functional differential inclusions
JO - Applications of Mathematics
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 3
SP - 321
EP - 340
AB - We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined Hille-Yosida operators. Existence and controllability results are established by combining the theory of addmissible multivalued contractions and Frigon's fixed point theorem. These results are applied to a neutral partial differential inclusion with diffusion.
LA - eng
KW - nondensely operator; neutral differential inclusion; multivalued map; fixed point; controllability; C$_{0}$-semigroup; nondensely operator; neutral differential inclusion; multivalued map; fixed point; controllability; C$_{0}$-semigroup
UR - http://eudml.org/doc/270138
ER -

References

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