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Ukrainian Mathematical Journal

, Volume 71, Issue 1, pp 111–130 | Cite as

Green’s Functional for Higher-Order Ordinary Differential Equations with General Nonlocal Conditions and Variable Principal Coefficient

  • K. ÖzenEmail author
Article
  • 23 Downloads

The method of Green’s functional is a little-known technique for the construction of fundamental solutions to linear ordinary differential equations (ODE) with nonlocal conditions. We apply this technique to a higher-order linear ODE involving general nonlocal conditions. A novel kind of adjoint problem and Green’s functional are constructed for the completely inhomogeneous problem. Several illustrative applications of the theoretical results are provided.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Namık Kemal UniversityTekirdağTurkey

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