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. 25. (2008), pp. 1-10.
H. H. G. Hashem, Alexandria University, Alexandria, Egypt
| Communicated by S. K. Ntouyas. | Received on 2008-04-30 Appeared on 2008-08-10 |
Abstract: We are concerned here with a nonlinear quadratic integral equation of Volterra type. The existence of at least one $L_1-$ positive solution will be proved under the Carath\{e}odory condition to prove the existence of at least one positive continuous solution. Finally the existence of the maximal and minimal solutions will be proved.
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