Conditional Correctness and Approximate Solution of Boundary Value Problem for the System of Second Order Mixed-type Equations
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https://elib.sfu-kras.ru/handle/2311/71095Author:
Khajiev, Ikrombek O.
Хажиев, Икромбек О.
Date:
2018-06Journal Name:
Журнал Сибирского федерального университета. Математика и физика. Journal of Siberian Federal University. Mathematics & Physics;2018 11 (2)Abstract:
In this paper, we consider the system of second-order mixed type equations. Theorems of uniqueness and conditional stability in the set of correctness are proven. The approximate solution is constructed by the method of regularization and by the quasi-inverse method. В данной работе рассматривается система уравнений смешанного типа второго порядка. Доказаны теоремы о единственности решения и его условной устойчивости на множестве корректности. Построено приближенное решение методом регуляризации и методом квазиобращения
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