The solution of the integral Volterra equations with degenerate kernels
Main publications:
Shakirova I. M., “Usloviya razreshimosti v kvadraturakh dvukh uravnenii tipa Volterra”, V terminakh koeffitsientov rassmatrivaemykh integralnykh uravnenii vyvodyatsya dostatochnye usloviya ikh razreshimosti v yavnom vide. Rassuzhdeniya suschestvenno opirayutsya na predlagaemyi sposob reduktsii iskhodnykh uravnenii k razlichnym variantam zadach Gursa dlya uravnenii vtorogo poryadka. Dopolnitelno ispolzuyutsya izvestnye sluchai postroeniya reshenii zadach Gursa v kvadraturakh., Uchen. zap. Kazan. gos. un-ta. Ser. Fiz.-matem. nauki, 155:4 (2013), 90-98
Zhegalov V. I., Sarvarova I. M., “K usloviyam razreshimosti zadachi Gursa v kvadraturakh”, Na osnove kombinatsii metoda Rimana s kaskadnym integrirovaniem vydeleny novye varianty resheniya zadachi Gursa v kvadraturakh. Rezultaty primeneny k dvum uravneniyam Volterra s chastnymi integralami., Izvestiya vuzov. Matematika, 2013, № 3, 68-73
Zhegalov V. I., Sarvarova I. M., “Ob odnom podkhode k resheniyu integralnykh uravnenii Volterra s vyrozhdennymi yadrami”, Izvestiya vuzov. Matematika, 2011, № 7, 28-36
V. I. Zhegalov, E. A. Utkina, I. M. Shakirova, “On conditions of solvability of the Goursat problem for generalized Aller equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8, 21–26; Russian Math. (Iz. VUZ), 62:8 (2018), 17–21
I. M. Shakirova, “On variants for solvability of a three-dimensional Volterra equation in quadratures”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158:4 (2016), 557–569
2014
3.
I. M. Shakirova, “A cases of solvability of the integral equation in quadratures”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(36) (2014), 57–65
2013
4.
V. I. Zhegalov, I. M. Sarvarova, “On conditions of solvability of the Goursat problem in quadratures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3, 68–73; Russian Math. (Iz. VUZ), 57:3 (2013), 56–59
I. M. Shakirova, “Solvability conditions in quadratures of two Volterra equations”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:4 (2013), 90–98
V. I. Zhegalov, I. M. Sarvarova, “One approach to the solution of Volterra integral equations with degenerate kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 7, 28–36; Russian Math. (Iz. VUZ), 55:7 (2011), 23–29
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