Scholarlink

Abstract <p> An ordinary second-order differential equation with a positive parameter and withdiscontinuous right-hand side that changes its sign at the point of the jump is considered. Variousboundary value problems for it are stated, including mixed and periodic boundary conditions.Theorems on the existence of periodic solutions of the boundary value problems in question areestablished. The results are illustrated by examples.</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

On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions

  • 期刊论文

  • 发表日期：

    2025年2月1日

查看全文
  • O. V. Baskov,
  • D. K. Potapov

摘要

Abstract

An ordinary second-order differential equation with a positive parameter and withdiscontinuous right-hand side that changes its sign at the point of the jump is considered. Variousboundary value problems for it are stated, including mixed and periodic boundary conditions.Theorems on the existence of periodic solutions of the boundary value problems in question areestablished. The results are illustrated by examples.