Global existence results for second order neutral functional differential equation with state-dependent delay

Mouffak Benchohra; Imene Medjadj

Commentationes Mathematicae Universitatis Carolinae (2016)

  • Volume: 57, Issue: 2, page 169-183
  • ISSN: 0010-2628

Abstract

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Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.

How to cite

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Benchohra, Mouffak, and Medjadj, Imene. "Global existence results for second order neutral functional differential equation with state-dependent delay." Commentationes Mathematicae Universitatis Carolinae 57.2 (2016): 169-183. <http://eudml.org/doc/280139>.

@article{Benchohra2016,
abstract = {Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.},
author = {Benchohra, Mouffak, Medjadj, Imene},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {neutral functional differential equation of second order; mild solution; infinite delay; state-dependent delay fixed point; semigroup theory; cosine function},
language = {eng},
number = {2},
pages = {169-183},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Global existence results for second order neutral functional differential equation with state-dependent delay},
url = {http://eudml.org/doc/280139},
volume = {57},
year = {2016},
}

TY - JOUR
AU - Benchohra, Mouffak
AU - Medjadj, Imene
TI - Global existence results for second order neutral functional differential equation with state-dependent delay
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 2
SP - 169
EP - 183
AB - Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
LA - eng
KW - neutral functional differential equation of second order; mild solution; infinite delay; state-dependent delay fixed point; semigroup theory; cosine function
UR - http://eudml.org/doc/280139
ER -

References

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