On monotonic solutions of an integral equation of Abel type

Mohamed Abdalla Darwish

Mathematica Bohemica (2008)

  • Volume: 133, Issue: 4, page 407-420
  • ISSN: 0862-7959

Abstract

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We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in C [ 0 , 1 ] . The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.

How to cite

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Darwish, Mohamed Abdalla. "On monotonic solutions of an integral equation of Abel type." Mathematica Bohemica 133.4 (2008): 407-420. <http://eudml.org/doc/250532>.

@article{Darwish2008,
abstract = {We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in $C[0,1]$. The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.},
author = {Darwish, Mohamed Abdalla},
journal = {Mathematica Bohemica},
keywords = {quadratic integral equation; monotonic solutions; Abel; measure of noncompactness; Darbo's fixed point theorem; quadratic integral equation; monotonic solutions; measure of noncompactness; Darbo's fixed point theorem; Abel type; Chandrasekhar's integral equation},
language = {eng},
number = {4},
pages = {407-420},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On monotonic solutions of an integral equation of Abel type},
url = {http://eudml.org/doc/250532},
volume = {133},
year = {2008},
}

TY - JOUR
AU - Darwish, Mohamed Abdalla
TI - On monotonic solutions of an integral equation of Abel type
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 4
SP - 407
EP - 420
AB - We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in $C[0,1]$. The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
LA - eng
KW - quadratic integral equation; monotonic solutions; Abel; measure of noncompactness; Darbo's fixed point theorem; quadratic integral equation; monotonic solutions; measure of noncompactness; Darbo's fixed point theorem; Abel type; Chandrasekhar's integral equation
UR - http://eudml.org/doc/250532
ER -

References

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