Green's Functional Concept for A Nonlocal Problem
Yükleniyor...
Dosyalar
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Green's function, loaded differential equation, nonlocal condition, adjoint problem, Equations
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
42
Sayı
4
