Green’s functional concept for a nonlocal problem

Kemal Özen, Kamil Oruçoğlu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this work, by Green’s functional concept, in order to obtain Green’s solution we concentrate on a new constructive technique by which a linear completely nonhomogeneous nonlocal problem for a second-order loaded differential equation with generally variable coefficients satisfying some general properties such as p-integrability and boundedness is transformed into one and only one integral equation. A system of three integro-algebraic equations called the special adjoint system is obtained for this problem. A solution of this special adjoint system is Green’s functional which enables us to determine Green’s function and Green’s solution for the problem. Two illustrative applications are provided.

Original languageEnglish
Pages (from-to)437-446
Number of pages10
JournalHacettepe Journal of Mathematics and Statistics
Issue number4
Publication statusPublished - 2013
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2013, Hacettepe University. All rights reserved.


  • Adjoint problem
  • Green’s function
  • Loaded differential equation
  • Nonlocal condition


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