Geodesic
Goursat problem for a singular integro-functional-differential composite equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 44-50

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We examine the Goursat problem for a composite equation with functional non-Carleman shifts of leading and retarded types in the singular integral operator and in the d'Alembert-type operator. We prove that the problem is uniquely solvable in the class of twice continuously differentiable solutions.
Mots-clés : composite equation, Goursat problem.
Keywords: functional shift, singular integral equation 
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     author = {A. N. Zarubin},
     title = {Goursat problem for a singular integro-functional-differential composite equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {44--50},
     publisher = {mathdoc},
     volume = {195},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_195_a4/}
}
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A. N. Zarubin. Goursat problem for a singular integro-functional-differential composite equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 44-50. http://geodesic.mathdoc.fr/item/INTO_2021_195_a4/