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April 27, 2026Logic Journal of IGPL0 citationsOpen Access

On the method of transforming a nonlocal boundary value problem into a Cauchy problem for a second order ordinary differential equation

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BSBahaddin Si̇nsoysalNANihan AliyevMRMahir Rasulov

Key Points

  • To propose a method for obtaining analytical solutions of second-order ordinary differential equations under nonlocal boundary conditions.
  • Developed a new analytical method for second-order ordinary differential equations with constant coefficients.
  • Utilized the second Green formula to derive fundamental relations for the problem.
  • Established necessary conditions for the correctness of the boundary value problem.
  • Obtained fundamental relations that enable solutions at boundary points.
  • Defined conditions ensuring the correctness of the nonlocal boundary value problem.

Abstract

Abstract In the article, a new method for finding of the analytical solution of a second-order ordinary differential equation with constant coefficients within a non-local boundary condition is proposed. Using the second Green formula, the fundamental relations are obtained, through which the necessary conditions for correctness of the problem are found. On the received fundamental relations for the arbitrary solution of the equation, the values for the solution at boundary points are obtained.

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Cite This Study

Si̇nsoysal et al. (2026) studied this question.

synapsesocial.com/papers/69eefe1efede9185760d4c9ahttps://doi.org/10.1093/jigpal/jzag012
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