Geodesic
Inverse problem for an equation of mixed parabolic-hyperbolic type with a Bessel operator
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 3, pp. 14-24

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In this work, for an equation of mixed parabolic-hyperbolic type with a Bessel operator, we study the inverse problem associated with the search for an unknown right-hand side. On based method separation of variables, the problem is reduced to solving an ordinary differential equations with respect to the coefficients of the Fourier—Bessel expansion of unknown functions in orthonormal Bessel functions of the first kind of zero order. A criterion for the uniqueness and existence of a solution to the stated problem is established.
Keywords: inverse problem, Fourier—Bessel series, eigenvalue, eigenfunction, uniqueness
Mots-clés : existence. . 
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     author = {D. K. Durdiev and Sh. B. Merajova},
     title = {Inverse problem for an equation of mixed parabolic-hyperbolic type with a {Bessel} operator},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {14--24},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a1/}
}
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D. K. Durdiev; Sh. B. Merajova. Inverse problem for an equation of mixed parabolic-hyperbolic type with a Bessel operator. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 3, pp. 14-24. http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a1/