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Shakirova Inna Maratovna


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Keywords: Goursat problem, Riemann function, cascade method, solution in quadratures, Volterra equations

Subject:

The solution of the integral Volterra equations with degenerate kernels


Main publications:
  1. 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
  2. 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
  3. Zhegalov V. I., Sarvarova I. M., “Ob odnom podkhode k resheniyu integralnykh uravnenii Volterra s vyrozhdennymi yadrami”, Izvestiya vuzov. Matematika, 2011, № 7, 28-36

Publications in Math-Net.Ru

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