Geodesic
A class of non-linear integral equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 87-98 
N. G. Ushakov. A class of non-linear integral equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 87-98. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The solution of implicit non-linear integral equations, of a type which occurs in scanning electron microscopy, is considered. The conditions for the solution to be unique are derived. Problems arising in the construction of iterative sequences converging to the solution are considered.

[1] Aristov V. V., Kazmiruk V. V., Ushakov N. G. et al., “Scanning electron microscopy in submicron structure diagnostics”, Vacuum, 38:11 (1989), 1045–1050 | DOI

[2] Aristov V. V., Dryomova N. N., Zaitsev S. I. et al., “Prospects of applications of mathematical simulation in scanning electron microscopy”, Proc. 5-th Internat. Conf. on Numer. Analys. of Semiconductor Devices and Integrated Circuits (Dublin, Ireland, 1987), 99–114

[3] Aristov V. V., Kazmiruk V. V., Ushakov N. G., Firsova A. A., “Formirovanie izobrazheniya mikrorelefa poverkhnosti v rastrovom elektronnom mikroskope”, Poverkhnost, 1989, no. 4, 120–127

[4] Aristov V. V., Kazmiruk V. V., Ushakov N. G., Firsova A. A., “Zavisimost elektronnoi emissii ot mikrostruktury poverkhnosti”, Poverkhnost, 1989, no. 3, 138–141

[5] Ushakov N. G., Metody resheniya odnogo klassa nelineinykh integralnykh uravnenii, Preprint, IPTM AN SSSR, M., 1988, 21 pp.