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, on the basis of the Carleman matrix, we explicitly construct a regularized
solution of the Cauchy problem for the matrix factorization of Helmholtz's equation in an …

Symmetry | Free Full-Text | Regularized Solution of the Cauchy Problem in an Unbounded
Domain Next Article in Journal Study of Weak Solutions for Degenerate Parabolic Inequalities …

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 …

The objective of this paper is to solve numerically a Cauchy problem defined on a two-
dimensional domain occupied by a material satisfying the Helmholtz type equations and …

1 Department of Scientific Research, Innovation and Training of Scientific and Pedagogical
Staff, University of Economics and Pedagogy, IA Karimov 13, 180100, Karshi, Uzbekistan. e …

In this paper, the generalized (3+ 1)-dimensional nonlinear wave equation in fluid with gas
bubbles is studied in soliton theory and produced by taking the Hirota bilinear operators …

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 …

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 …