Addendum to integrable and continuous solutions of a nonlinear quadratic integral equation
A. M. A. El-Sayed, Alexandria University, Alexandria, Egypt E. J. Qualitative Theory of Diff. Equ., No. 51. (2009), pp. 1-1.
H. H. G. Hashem, Alexandria University, Alexandria, Egypt
Communicated by T. A. Burton. | Received on 2009-08-17 Appeared on 2008-08-24 |
Abstract: 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 $k(t,s)m_2(s)\in L_1 \forall t\in[0,1].$
See also: EJQTDE, No. 25. (2008)
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