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 $s$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2008-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=437 |
| _version_ | 1797830700596985856 |
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| author | Ahmed El-Sayed H. H. G. Hashem |
| author_facet | Ahmed El-Sayed H. H. G. Hashem |
| author_sort | Ahmed El-Sayed |
| collection | DOAJ |
| 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 $k(t,s)m_2(s)\in L_1 \forall t\in[0,1].$ |
| first_indexed | 2024-04-09T13:41:21Z |
| format | Article |
| id | doaj.art-31817bce868a46bf8c22130a7b0b204a |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:21Z |
| publishDate | 2008-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-31817bce868a46bf8c22130a7b0b204a2023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752008-08-012009511110.14232/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 |
| 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 |
| title | 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_short | 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 |
| 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 |