Impulsive semilinear neutral functional differential inclusions with multivalued jumps

Nadjet Abada; Ravi P. Agarwal; Mouffak Benchohra; Hadda Hammouche

Applications of Mathematics (2011)

  • Volume: 56, Issue: 2, page 227-250
  • ISSN: 0862-7940

Abstract

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In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.

How to cite

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Abada, Nadjet, et al. "Impulsive semilinear neutral functional differential inclusions with multivalued jumps." Applications of Mathematics 56.2 (2011): 227-250. <http://eudml.org/doc/116522>.

@article{Abada2011,
abstract = {In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.},
author = {Abada, Nadjet, Agarwal, Ravi P., Benchohra, Mouffak, Hammouche, Hadda},
journal = {Applications of Mathematics},
keywords = {impulsive semilinear neutral functional differential equation; densely defined operator; infinite delay; phase space; fixed point; mild solutions; extremal mild solution; impulsive semilinear neutral functional differential equation; densely defined operator; infinite delay; phase space; fixed point; mild solution; extremal mild solution},
language = {eng},
number = {2},
pages = {227-250},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Impulsive semilinear neutral functional differential inclusions with multivalued jumps},
url = {http://eudml.org/doc/116522},
volume = {56},
year = {2011},
}

TY - JOUR
AU - Abada, Nadjet
AU - Agarwal, Ravi P.
AU - Benchohra, Mouffak
AU - Hammouche, Hadda
TI - Impulsive semilinear neutral functional differential inclusions with multivalued jumps
JO - Applications of Mathematics
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 227
EP - 250
AB - In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
LA - eng
KW - impulsive semilinear neutral functional differential equation; densely defined operator; infinite delay; phase space; fixed point; mild solutions; extremal mild solution; impulsive semilinear neutral functional differential equation; densely defined operator; infinite delay; phase space; fixed point; mild solution; extremal mild solution
UR - http://eudml.org/doc/116522
ER -

References

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