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Uniqueness and stability of solutions of linear intergral equations of the first kind with two variables

Avıt ASANOV | Mustafa Haluk ÇELİK

In this paper is dedicated to the research of the problem of uniqueness and stability of solutions for linear integral Equations of the first kind with two variables. Here the operator generated by the kernels is not the compact operator.

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Uniqueness and Stability of Solutions for Certain Linear Equations of the First Kind With Two Variables = Единственность и устойчивость решений для некоторых интегральных уравнений первого рода с двумя независимыми переменными

Avıt ASANOV

The article is devoted to the study of uniqueness and stability of solutions of linear integral equations of the first kind with two independent variables. The relevance of the problem is due to the needs in development of new approaches for the regularization and uniqueness of the solution of linear integral equations of the first kind with two independent variables. Integral and operator equations of the first kind with two independent variables arise in theoretical and applied problems.Works of A.N. Tikhonov, M.M. Lavrentyev and B.K. Ivanov, in which a new concept of correctness of setting ...More

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