Solvability of A Nonlocal Problem By A Novel Concept of Fundamental Function
Yükleniyor...
Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Georgian Natl Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Cauchy function, Green function and Riemann function are the several of the fundamental functions used frequently in the expression of a fundamental solution in the literature. In order to construct such functions, various ideas can be considered. The lesser-known one of these ideas is contained in the papers [1-4] by Seyidali S. Akhiev. Inspired by these papers, the solvability of some problems [12, 14, 15, 17-19] has been investigated. In this work, a novel kind of adjoint problem for a generally nonlocal problem, and also Green's functional via the solvability of that adjoint problem are constructed [21]. By means of the obtained Green's functional, an integral representation for the solution of the nonlocal problem is established.(1)
Açıklama
Anahtar Kelimeler
Green's function, nonlocal condition, adjoint problem, uncoupled linear system, Differential-Systems, Equation
Kaynak
Memoirs on Differential Equations and Mathematical Physics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
75
