In this paper, we are talking about the formulation of the Cauchy problem for matrix
factorizations of the Helmholtz equation in two-dimensional and three-dimensional bounded …

In this paper, the problem of continuation of the ill-posed Cauchy problem solution's is
studied for matrix factorizations of the Helmholtz equation in a two-dimensional bounded …

This paper deals with the construction of a family of fundamental solutions of the Helmholtz
equation, parameterized by an entire function with certain properties. Functions that possess …

DA Juraev, AA Tagiyeva, JD Bulnes and GX-G. Yue Communicated by Vagif Ibrahimov
Abstract: In this paper, we consider the problem of recovering solutions of matrix …

Labor exports are currently considered among the most important foreign economic sectors,
implying that they contribute to a country's economic development and serve as a strategic …

In this paper, the problem of continuation of the solution of the ill-posed Cauchy problem for
matrix factorizations of the Helmholtz equation in a multidimensional bounded domain is …

In this study we consider linear and nonlinear Volterra integral equations (VIEs) of the
second kind with discontinuous kernel. A novel iterative method using floating point …

The study delves into the persistent analysis and reliability assessment of the solution to the
Cauchy problem for the Helmholtz equation, within a defined area, using the known values …

In this paper, some important objectives have been achieved, which are as follows: First, we
present a method of the inverse for a class of non-singular block matrices and some …

It is known that the Cauchy problem for elliptic equations is unstable relatively small change
in the data, ie, is incorrect (Hadamard's example). In unstable problems the image of the …