Solvability of A Nonlocal Problem By A Novel Concept of Fundamental Function
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Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Georgian Natl Acad Sciences
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
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)
Description
Keywords
Green's function, nonlocal condition, adjoint problem, uncoupled linear system, Differential-Systems, Equation
Journal or Series
Memoirs on Differential Equations and Mathematical Physics
WoS Q Value
N/A
Scopus Q Value
Q4
Volume
75
