ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE Rm

D. A. JURAEV; S. NOEIAGHDAM; P. AGARWAL; R. P. AGARWAL

ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE Rm

D. A. JURAEV
, S. NOEIAGHDAM
, P. AGARWAL
, R. P. AGARWAL

Higher Military Aviation School of the Republic of Uzbekistan
International College of Engineering
Irkutsk National Research Technical University
South Ural State University
Texas A&M University-Kingsville

Research output: Contribution to journal › Article › peer-review

Abstract

In the present paper, on the basis of the Carleman matrix, approximate solutions of the Cauchy problem for matrix factorizations of the Helmholtz equation are found in explicit form.

Original language	English
Pages (from-to)	618-632
Number of pages	15
Journal	Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Volume	14
Issue number	2
State	Published - 2024
Externally published	Yes

Keywords

Ill-Posed Cauchy Problems
approximate solution
elliptical system
matrix factorization
regularized solution

Cite this

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title = "ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE Rm",

abstract = "In the present paper, on the basis of the Carleman matrix, approximate solutions of the Cauchy problem for matrix factorizations of the Helmholtz equation are found in explicit form.",

keywords = "Ill-Posed Cauchy Problems, approximate solution, elliptical system, matrix factorization, regularized solution",

author = "JURAEV, \{D. A.\} and S. NOEIAGHDAM and P. AGARWAL and AGARWAL, \{R. P.\}",

year = "2024",

language = "English",

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pages = "618--632",

journal = "Turkish World Mathematical Society Journal of Applied and Engineering Mathematics",

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AU - NOEIAGHDAM, S.

AU - AGARWAL, P.

AU - AGARWAL, R. P.

PY - 2024

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AB - In the present paper, on the basis of the Carleman matrix, approximate solutions of the Cauchy problem for matrix factorizations of the Helmholtz equation are found in explicit form.

KW - Ill-Posed Cauchy Problems

KW - approximate solution

KW - elliptical system

KW - matrix factorization

KW - regularized solution

UR - https://www.scopus.com/pages/publications/85189698923

M3 - Article

AN - SCOPUS:85189698923

SN - 2146-1147

VL - 14

SP - 618

EP - 632

JO - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

JF - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

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ER -

ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE Rm

Abstract

Keywords

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