Existence results for first order impulsive functional differential equations with state-dependent delay

Mouffak Benchohra; Benaouda Hedia

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

  • Volume: 49, Issue: 2, page 5-19
  • ISSN: 0231-9721

Abstract

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In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two operators.

How to cite

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Benchohra, Mouffak, and Hedia, Benaouda. "Existence results for first order impulsive functional differential equations with state-dependent delay." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.2 (2010): 5-19. <http://eudml.org/doc/116510>.

@article{Benchohra2010,
abstract = {In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two operators.},
author = {Benchohra, Mouffak, Hedia, Benaouda},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Differential equation; state-dependent delay; fixed point; impulses; infinite delay; differential equation; state-dependent delay; fixed point; impulses; infinite delay},
language = {eng},
number = {2},
pages = {5-19},
publisher = {Palacký University Olomouc},
title = {Existence results for first order impulsive functional differential equations with state-dependent delay},
url = {http://eudml.org/doc/116510},
volume = {49},
year = {2010},
}

TY - JOUR
AU - Benchohra, Mouffak
AU - Hedia, Benaouda
TI - Existence results for first order impulsive functional differential equations with state-dependent delay
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 2
SP - 5
EP - 19
AB - In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two operators.
LA - eng
KW - Differential equation; state-dependent delay; fixed point; impulses; infinite delay; differential equation; state-dependent delay; fixed point; impulses; infinite delay
UR - http://eudml.org/doc/116510
ER -

References

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