Existence and stability of solutions for a system of quadratic integral equations in Banach algebras

Said Baghdad

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2020)

  • Volume: 19, page 203-218
  • ISSN: 2300-133X

Abstract

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The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo's fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.

How to cite

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Said Baghdad. "Existence and stability of solutions for a system of quadratic integral equations in Banach algebras." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19 (2020): 203-218. <http://eudml.org/doc/296806>.

@article{SaidBaghdad2020,
abstract = {The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo's fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.},
author = {Said Baghdad},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {quadratic integral equations of fractional order},
language = {eng},
pages = {203-218},
title = {Existence and stability of solutions for a system of quadratic integral equations in Banach algebras},
url = {http://eudml.org/doc/296806},
volume = {19},
year = {2020},
}

TY - JOUR
AU - Said Baghdad
TI - Existence and stability of solutions for a system of quadratic integral equations in Banach algebras
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2020
VL - 19
SP - 203
EP - 218
AB - The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo's fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.
LA - eng
KW - quadratic integral equations of fractional order
UR - http://eudml.org/doc/296806
ER -

References

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