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On Linear Two-Point Inverse Problem for a Multidimensional Wave Equation with Semi-Nonlocal Boundary Conditions
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2024-07-19 , DOI: 10.1134/s1995080224600730 S. Z. Dzhamalov , Sh. Sh. Khudoykulov
中文翻译:
半非局部边界条件多维波动方程的线性两点反问题
更新日期:2024-07-20
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2024-07-19 , DOI: 10.1134/s1995080224600730 S. Z. Dzhamalov , Sh. Sh. Khudoykulov
Abstract
In this article, we investigated the correctness of a linear two-point inverse problem for a multidimensional wave equation. The unique solvability of a generalized solution to a linear two-point inverse problem for a multidimensional wave equation is proved by methods of a priori estimates, a sequence of approximations, and contracting mappings.
中文翻译:
![](https://scdn.x-mol.com/jcss/images/paperTranslation.png)
半非局部边界条件多维波动方程的线性两点反问题
抽象的
在本文中,我们研究了多维波动方程的线性两点反问题的正确性。通过先验估计、一系列近似和收缩映射的方法证明了多维波动方程线性两点反问题的广义解的唯一可解性。