Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic Type of the First Order

被引：6

作者：

Juraev, Davron Aslonqulovich ^{[1
,2
]}

Shokri, Ali ^{[3
]}

Marian, Daniela ^{[4
]}

机构：

[1] Higher Mil Aviat Sch Republ Uzbekistan, Chair Nat Sci Disciplines, Karshi 180100, Uzbekistan

[2] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[3] Univ Maragheh, Fac Sci, Dept Math, Maragheh 8311155181, Iran

[4] Tech Univ Cluj Napoca, Dept Math, 28 Memorandumului St, Cluj Napoca 400114, Romania

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 07期

关键词：

Carleman matrix; stability of the Cauchy problem; regularized solution; approximate solution; CARLEMAN FORMULA; EQUATIONS;

D O I：

10.3390/fractalfract6070358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study, in this paper, the Cauchy problem for matrix factorizations of the Helmholtz equation in the space R-m. Based on the constructed Carleman matrix, we find an explicit form of the approximate solution of this problem and prove the stability of the solutions.

引用

页数：11

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