Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation

This addendum concerns the paper of the above title found in EJQTDE No. 25 (2008). There are some misprints in that paper: (i) Page 3, line 5 should be $k:[0,1] \times[0,1]\rightarrow R_+$ satisfies Carath\'{e}odory condition (i.e. measurable in $t$ for all $s \in [0,1]$ and continuous in $s$...

Full description

Bibliographic Details
Main Authors: Ahmed El-Sayed, H. H. G. Hashem
Format: Article
Language:English
Published: University of Szeged 2008-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=437
id doaj-31817bce868a46bf8c22130a7b0b204a
record_format Article
spelling doaj-31817bce868a46bf8c22130a7b0b204a2021-07-14T07:21:21ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752008-08-012009511110.14232/ejqtde.2009.1.51437Addendum to integrable and continuous solutions of a nonlinear quadratic integral equationAhmed El-Sayed0H. H. G. Hashem1Faculty of Science, Alexandria University, Alexandria, EgyptAlexandria University, Alexandria, EgyptThis addendum concerns the paper of the above title found in EJQTDE No. 25 (2008). There are some misprints in that paper: (i) Page 3, line 5 should be $k:[0,1] \times[0,1]\rightarrow R_+$ satisfies Carath\'{e}odory condition (i.e. measurable in $t$ for all $s \in [0,1]$ and continuous in $s$ for all $t\in [0,1]$) such that $\int_0^1 k(t,s) m_2(s)ds$ is bounded $\forall t\in[0,1].$ (ii) Page 6, line 6 should be $k:[0,1] \times [0,1]\rightarrow R_+$ satisfies Carath\'{e}odory condition (i.e. measurable in $s$ for all $t \in~[0,1]$ and continuous in $t$ for all $s \in [0,1] $) such that $k(t,s)m_2(s)\in L_1 \forall t\in[0,1].$http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=437
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed El-Sayed
H. H. G. Hashem
spellingShingle Ahmed El-Sayed
H. H. G. Hashem
Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Ahmed El-Sayed
H. H. G. Hashem
author_sort Ahmed El-Sayed
title Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
title_short Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
title_full Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
title_fullStr Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
title_full_unstemmed Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
title_sort addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2008-08-01
description This addendum concerns the paper of the above title found in EJQTDE No. 25 (2008). There are some misprints in that paper: (i) Page 3, line 5 should be $k:[0,1] \times[0,1]\rightarrow R_+$ satisfies Carath\'{e}odory condition (i.e. measurable in $t$ for all $s \in [0,1]$ and continuous in $s$ for all $t\in [0,1]$) such that $\int_0^1 k(t,s) m_2(s)ds$ is bounded $\forall t\in[0,1].$ (ii) Page 6, line 6 should be $k:[0,1] \times [0,1]\rightarrow R_+$ satisfies Carath\'{e}odory condition (i.e. measurable in $s$ for all $t \in~[0,1]$ and continuous in $t$ for all $s \in [0,1] $) such that $k(t,s)m_2(s)\in L_1 \forall t\in[0,1].$
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=437
work_keys_str_mv AT ahmedelsayed addendumtointegrableandcontinuoussolutionsofanonlinearquadraticintegralequation
AT hhghashem addendumtointegrableandcontinuoussolutionsofanonlinearquadraticintegralequation
_version_ 1721303800310923264