Geodesic
Approximating properties of solutions of the differential equation with integral boundary condition
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 3, pp. 63-66.

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With the use of the solution of the first-order differential equation the approximations to the continuous functions with integral boundary conditions are constructed. 
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A. A. Khromov; G. V. Khromova. Approximating properties of solutions of the differential equation with integral boundary condition. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 3, pp. 63-66. http://geodesic.mathdoc.fr/item/ISU_2011_11_3_a8/

[1] Khromova G. V., “Priblizhayuschie svoistva rezolvent differentsialnykh operatorov v zadache priblizheniya funktsii i ikh proizvodnykh”, Zhurn. vychisl. mat. i mat. fiz., 38:7 (1998), 1106–1113 | MR | Zbl

[2] Khromov A. A., “Priblizhayuschie svoistva stepenei rezolventy operatora differentsirovaniya”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 9:3 (2009), 75–78