与雅可比算子相关的伪抛物方程的反源问题

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-04-09 DOI:10.1186/s13661-024-01859-x

Bayan Bekbolat, Niyaz Tokmagambetov

引用次数: 0

摘要

本文研究了与雅可比算子相关的时分假抛物方程的直接问题和逆问题。证明了解的存在性和唯一性。此外，还建立了反源问题 (ISP) 的稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator

In this paper, we investigate direct and inverse problems for time-fractional pseudoparabolic equations associated with the Jacobi operator. The existence and uniqueness of the solutions are proven. Also, the stability result of the inverse source problem (ISP) is established.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.