Geodesic
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
Applications of Mathematics, Tome 54 (2009) no. 4, pp. 337-349.

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A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
DOI : 10.1007/s10492-009-0021-9
Classification : 45E99, 45F15, 45G05, 45G10, 45J05, 47N20
Keywords: non-linear singular integral equation; Schauder's fixed point theorem; Banach space; Hilbert kernel; quasi-linear singular integro-differential equations 
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     title = {Existence results for non-linear singular integral equations with {Hilbert} kernel in {Banach} spaces},
     journal = {Applications of Mathematics},
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Saleh, Mohmed H.; Amer, Samir M.; Ahmed, Marwa H. Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces. Applications of Mathematics, Tome 54 (2009) no. 4, pp. 337-349. doi : 10.1007/s10492-009-0021-9. http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0021-9/

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