Mots-clés : Volterra–Hammerstein equations.
@article{IVM_2012_7_a3,
author = {Z. B. Tsalyuk and M. V. Tsalyuk},
title = {The asymptotic behavior of solutions of a~certain nonlinear {Volterra} equation},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {35--44},
year = {2012},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2012_7_a3/}
}
Z. B. Tsalyuk; M. V. Tsalyuk. The asymptotic behavior of solutions of a certain nonlinear Volterra equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2012), pp. 35-44. http://geodesic.mathdoc.fr/item/IVM_2012_7_a3/
[1] Derbenev V. A., Tsalyuk Z. B., Asimptotika reshenii lineinykh uravnenii Volterra s raznostnym yadrom, KubGU, Krasnodar, 2001
[2] Tsalyuk Z. B., “Asimptotika rezolventy uravneniya Volterra s raznostnym yadrom pri stepennykh osobennostyakh simvola”, Izv. vuzov. Matem., 2006, no. 7, 77–84 | MR
[3] Tsalyuk Z. B., Tsalyuk M. V., “Struktura rezolventy uravneniya Volterra s nesummiruemym raznostnym yadrom”, Izv. vuzov. Matem., 2010, no. 4, 72–82 | MR | Zbl
[4] Levin J. J., Shea D. E., “On the asymptotic behavior of the bounded solutions of some integral equations. I”, J. Math. Anal. Appl., 37:1 (1972), 42–82 | DOI | MR | Zbl
[5] Levin J. J., Shea D. E., “On the asymptotic behavior of the bounded solutions of some integral equations. II”, J. Math. Anal. Appl., 37:2 (1972), 288–306 | DOI | MR
[6] Levin J. J., Shea D. E., “On the asymptotic behavior of the bounded solutions of some integral equations. III”, J. Math. Anal. Appl., 37:3 (1972), 537–575 | DOI | MR | Zbl
[7] Krasnoselskii M. A., Vainikko G. M., Zabreiko P. P., Rutitskii Ya. B., Stetsenko V. Ya., Priblizhennoe reshenie operatornykh uravnenii, Nauka, M., 1969 | MR