Geodesic
The solution of a certain inverse problem
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 16 (2016) no. 2, pp. 180-183.

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The solution is given for the problem of findinging uniform approximations of a the right-hand side of a general linear ordinary differential equation in the case when approximations of the exact solution are known. The constructed method has a simple structure, produces approximations of the right-hand side on the whole interval of definition and does not employ boundary conditions. 
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A. A. Khromov. The solution of a certain inverse problem. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 16 (2016) no. 2, pp. 180-183. http://geodesic.mathdoc.fr/item/ISU_2016_16_2_a8/

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[2] Denisov A. M., Introduction to the theory of inverse problems, Moscow Univ. Press, M., 1994, 206 pp. (in Russian)

[3] Khromov A. A., Khromova G. V., “The Solution of the Problem of Determining the Dendity of Heat Sources in a Rod”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 15:3 (2015), 309–314 (in Russian) | DOI | Zbl

[4] Khromov A. A., “Approximation of Function and Its Derivative by the Modificated Steklov Operator”, Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 14:4/2 (2014), 593–597 (in Russian)

[5] Khromov A. P., Khromova G. V., “Discontinuous Steklov operators in the problem of uniform approximation of derivatives on closed integral”, Comput. Math. Math. Phys., 54:9 (2014), 1389–1394 | DOI | DOI | MR | Zbl