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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 4

GREEN'S FUNCTIONAL CONCEPT FOR A NONLOCAL PROBLEM

Kamil ORUÇOĞLU
Kemal ÖZEN
Sayfa
437–446
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Two illustrative applications are provided

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:A system of threeintegro-algebraic equations called the special adjoint system is obtainedfor this problem.
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Sonuç & Katkı:Two illustrative applications are provided
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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

ORUÇOĞLU, K., ÖZEN, K. (2022). GREEN'S FUNCTIONAL CONCEPT FOR A NONLOCAL PROBLEM. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 4, 437–446. https://ajindex.com/articles/530430

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Kaynakça (15)

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