Scholarlink

Abstract <p>The paper considers systems of linear Volterra integral equations with a matrix at the principal term that is identically degenerate in the domain of definition. Such systems are called integro-algebraic equations. The concept of a simple structure of integro-algebraic equations is introduced, and solvability issues are investigated. In particular, systems with singular points in the domain of definition are considered. The concept of a singular point of such systems is formalized. A number of examples illustrating the theoretical results are given.</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

Solvability and Properties of Singular Points of Linear Volterra Integro-Algebraic Equations

  • 期刊论文

  • 发表日期：

    2025年7月1日

查看全文
  • V. F. Chistyakov,
  • E. V. Chistyakova

摘要

Abstract

The paper considers systems of linear Volterra integral equations with a matrix at the principal term that is identically degenerate in the domain of definition. Such systems are called integro-algebraic equations. The concept of a simple structure of integro-algebraic equations is introduced, and solvability issues are investigated. In particular, systems with singular points in the domain of definition are considered. The concept of a singular point of such systems is formalized. A number of examples illustrating the theoretical results are given.