Scholarlink

<p>We prove a priori inequalities for the class of linear integro-differential equations of hyperbolic type that arise in the analysis of viscoelastic media. Theorems of the existence and uniqueness of the generalized solution and the continuous dependence of the solution on the equation’s right-hand side are formulated. The problem of optimal control is given, and a theorem on the existence of its solution is formulated.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Optimal Control of Hyperbolic Integro-Differential Systems

  • 期刊论文

  • 发表日期：

    2025年1月1日

查看全文
  • A. V. Anikushyn,
  • Kh. M. Hranishak,
  • V. S. Lyashko,
  • O. S. Samosonok

摘要

We prove a priori inequalities for the class of linear integro-differential equations of hyperbolic type that arise in the analysis of viscoelastic media. Theorems of the existence and uniqueness of the generalized solution and the continuous dependence of the solution on the equation’s right-hand side are formulated. The problem of optimal control is given, and a theorem on the existence of its solution is formulated.