Geodesic
On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 289-297 Cet article a éte moissonné depuis la source Math-Net.Ru

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The convergence in the mean-square metric of the Lavrent'ev regularization method for an integral equation with involution is established. The proof of the convergence is based on studying the behavior of the resolvent of a certain integro-differential equation related to the original equation.
Keywords: integral equation, regularization, involution, resolvent. 
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A. P. Khromov; G. V. Khromova. On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 289-297. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a23/

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