Geodesic
Asymptotic solutions of integro-differential equations with partial derivatives and with rapidly varying kernel
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1623-1632.

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In the paper, ideas of the Lomov regularization method are generalized to the Cauchy problem for a singularly perturbed partial integro-differential equation in the case when the integral term contains a rapidly varying kernel. Regularization of the problem is carried out, the normal and unique solvability of general iterative problems is proved.
Keywords: singularly perturbed, partial integro differential equation, regularization of an integral, solvability of iterative problems. 
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B. T. Kalimbetov; N. A. Pardaeva; L. D. Sharipova. Asymptotic solutions of integro-differential equations with partial derivatives and with rapidly varying kernel. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1623-1632. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a103/

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