Geodesic
Solution of a second-kind integro-functional Abel 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. 139-141.

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We examine an integro-functional equation with a weakly polar integral operator with non-Carleman shifts of retarded and advancing type. The unique solvability of the problem is proved.
Mots-clés : Abel equation, matrix equation
Keywords: mutually inverse diffeomorphisms. 
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     author = {E. Chaplygina},
     title = {Solution of a second-kind integro-functional {Abel} equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {139--141},
     publisher = {mathdoc},
     volume = {195},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2021_195_a15/}
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E. Chaplygina. Solution of a second-kind integro-functional Abel 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. 139-141. http://geodesic.mathdoc.fr/item/INTO_2021_195_a15/

[1] Bellman R., Vvedenie v teoriyu matrits, Nauka, M., 1976 | MR

[2] Polyanin A. D., Manzhirov A. V., Spravochnik po integralnym uravneniyam, Fizmatlit, M., 2003