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On the Existence and Uniqueness of a Positive Solution to a Boundary-Value Problem of the Sturm–Liouville Type for a Nonlinear Ordinary Differential Equation

  • G. È. Abduragimov,
  • P. È. Abduragimova,
  • M. M. Kuramagomedova

摘要

Using the fixed point theorem in partially ordered sets, we obtain sufficient conditions for the existence of a unique positive solution to a boundary-value problem of the Sturm–Liouville type for a nonlinear ordinary differential equation, and give an example illustrating the results obtained.