Asymptotic Integration of a Singularly Perturbed Volterra Equation in the Case of a Spectral Singularity of First Order
Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 716-722.

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A method of constructing an asymptotic solution of a singularly perturbed Volterra integral equation in the case of a spectral singularity of first order is proposed.
Keywords: asymptotic integration, Volterra integral equation of the second kind.
Mots-clés : singular perturbation
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A. G. Eliseev; D. A. Shaposhnikova. Asymptotic Integration of a Singularly Perturbed Volterra Equation in the Case of a Spectral Singularity of First Order. Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 716-722. http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a6/

[1] S. A. Lomov, Vvedenie v obschuyu teoriyu singulyarnykh vozmuschenii, Nauka, M., 1981 | MR | Zbl

[2] V. F. Safonov, “Metod regulyarizatsii dlya singulyarno vozmuschennykh sistem nelineinykh differentsialnykh uravnenii”, Izv. AN SSSR. Ser. matem., 43:3 (1979), 628–653 | MR | Zbl

[3] V. F. Safonov, “Regulyarizovannye asimptoticheskie resheniya singulyarno vozmuschennykh zadach v kriticheskom sluchae”, Izv. vuzov. Matem., 1994, no. 5, 41–48 | MR | Zbl

[4] A. G. Eliseev, D. A. Shaposhnikova, “Asimptotika singulyarno vozmuschennogo integralnogo uravneniya Volterra”, Vestn. MEI, 2010, no. 6, 34–47

[5] A. G. Eliseev, D. A. Shaposhnikova, “Analiz regulyarizovannoi asimptotiki integralnogo uravneniya Volterra v sluchae nevyrozhdennogo yadra”, Vestn. MEI, 2012, no. 6, 57–64

[6] A. G. Eliseev, D. A. Shaposhnikova, “Asimptoticheskii analiz singulyarno vozmuschennogo integralnogo uravneniya Volterra vtorogo roda s vyrozhdennym yadrom”, Vestn. MEI, 2013, no. 6, 68–72