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 $s$...
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University of Szeged
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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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¶mtipus_ertek=publication¶m_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¶mtipus_ertek=publication¶m_ertek=437 |
work_keys_str_mv |
AT ahmedelsayed addendumtointegrableandcontinuoussolutionsofanonlinearquadraticintegralequation AT hhghashem addendumtointegrableandcontinuoussolutionsofanonlinearquadraticintegralequation |
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