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Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations

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1 Citation (Scopus)

Abstract

The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel’skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Dirichlet boundary conditions theoretical result is compared with result obtained numerically.

Original languageEnglish
Article number41
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume2024
Issue number41
DOIs
Publication statusPublished - 2024

Keywords

  • boundary value problem
  • interval of the existence of solutions
  • Krasnosel’skiĭ–Precup fixed point theorem
  • positive solutions
  • system of second-order ODEs

OECD Field of Science

  • 1.1 Mathematics

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