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Construction of Green’s functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient

  • Kemal Özen EMAIL logo

Abstract

In this work, the solvability of a generally nonlocal problem is investigated for a third order linear ordinary differential equation with variable principal coefficient. A novel adjoint problem and Green’s functional are constructed for a completely nonhomogeneous problem. Several illustrative applications for the theoretical results are provided.

Acknowledgements

The author is thankful to the anonymous reviewers for their suggestions and comments.

References

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Received: 2016-02-19
Revised: 2018-03-04
Accepted: 2018-03-19
Published Online: 2019-02-15
Published in Print: 2020-12-01

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