Conditions of existence and uniqueness of a solution for one class of nonlinear singular integral equations were investigated. The method of mechanical quadratures was considered. Various computing schemes were adduced and one of them was substantiated.
нелинейные сингулярные интегральные уравнения, метод механических квадратур, nonlinear singular integral equations, the method of mechanical quadratures
1. B.G.Gabdulhaev, Pryamye metody resheniya singulyarnyh integral'nyh uravneniy I-go roda. - Kazan': Izd-vo KGU, 1995. - 288 s.
2. I.K.Lifanov, Metod singulyarnyh integral'nyh uravneniyah i chislennyy eksperiment. - M.: TOO ” Yanus“, 1995 - 519 s.
3. A.I.Guseynov, H.Sh.Muhtarov, Vvedenie v teoriyu nelineynyh singulyarnyh integral'nyh uravneniy. - M.: Nauka,1980. - 414s.
4. L.E.Shuvalova, Kvadraturnyy metod resheniya nelineynogo singulyarnogo integral'nogo uravneniya. // Izv. vuzov. Matematika. - 2007 - № 6. - s. 77-81.
5. V.V.Ivanov, Metody vychisleniy na EVM. Spravochnoe posobie. - Kiev: Nauk. dumka. 1986. - 584 s.
6. M.A.Krasnosel'skiy, G.M.Vayniko, P.P.Zabreyko i dr. Priblizhennoe reshenie operatornyh uravneniy. - M.:Nauka,1969.- 456 s.
7. I.P.Natanson, Konstruktivnaya teoriya funkciy. - M. - L.: Gostehizdat, 1949. - 688 s.
8. B.G.Gabdulhaev, Chislennyy analiz singulyarnyh integral'nyh uravneniy. Izbrannye glavy. - Kazan': Izd-vo KGU, 1995. - 230 s.
9. R.G. Muharlyamov, O.V. Matuhina, Vestn. Kazan. gos. tehnolog. un-ta, 15, 12, 220-224 (2012).
