某伪双曲方程组解存在的必要条件

Siberian Advances in Mathematics Pub Date : 2024-09-18 DOI:10.1134/s1055134424030027

L. N. Bondar, S. B. Mingnarov

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引用次数: 0

摘要

摘要在本文中，我们考虑了在模拟弹性杆的挠扭振动时出现的伪全双曲系统的 Cauchy 问题。对于系统右侧的函数，我们提出了在具有指数权的 Sobolev 空间中存在 Cauchy 问题解的必要条件。

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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Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations

Abstract

In the present article, we consider the Cauchy problem for a pseudohyperbolic system that arises in modeling flexural-torsional vibrations of an elastic rod. For the function on the right-hand side of the system, we suggest necessary conditions for existence of a solution of the Cauchy problem in the Sobolev space with exponential weight.

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.