Scholarlink

<p>By using the general theory of pseudoinverse operators and orthoprojectors, we construct an operator pseudoinverse to an integral operator with nondegenerate kernel and establish criteria for the solvability of integral equations with nondegenerate kernels and boundary-value problems for these equations in Hilbert spaces.</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 Criterion for Linear Boundary-value Problems for Integral Equations with Nondegenerate Kernel in Hilbert Spaces

  • 期刊论文

  • 发表日期：

    2026年5月29日

查看全文
  • Valerii Zhuravlev,
  • Andrii Zhuravlev,
  • Iryna Slyusarenko

摘要

By using the general theory of pseudoinverse operators and orthoprojectors, we construct an operator pseudoinverse to an integral operator with nondegenerate kernel and establish criteria for the solvability of integral equations with nondegenerate kernels and boundary-value problems for these equations in Hilbert spaces.