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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 4

Green’s Functional Concept for a Nonlocal Problem

Kemal Özen
Kamil Oruçoğlu
Sayfa
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Yayın Tarihi
2013-04-01
DOI
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Özet

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Abstract

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

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Bu Makaleye Atıf Yap

Özen, K., Oruçoğlu, K. (2013). Green’s Functional Concept for a Nonlocal Problem. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 4. https://ajindex.com/articles/1403469

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