2024 : 11 : 23
Ali Shokri Shokri

Ali Shokri Shokri

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
On the Approximate Solution of the Cauchy Problem in a Multidimensional Unbounded Domain
Type
JournalPaper
Keywords
integral formula; regularization of the Cauchy problem; approximate solution; Carleman matrix; family of vector functions; Bessel and Hankel functions
Year
2022
Journal Fractal and Fractional
DOI
Researchers Davron Aslonqulovich JURAEV ، Ali Shokri Shokri ، Daniela Marian

Abstract

In this paper, the Carleman matrix is constructed, and based on it we found explicitly a regularized solution of the Cauchy problem for the matrix factorization of the Helmholtz equation in a multidimensional unbounded domain in Rm,(m=2k,k≥2). The corresponding theorems on the stability of the solution of problems are proved.