Green's functions for fractional difference equations with Dirichlet boundary conditions

被引：2
|
作者：
Cabada, Alberto [1 ]
Dimitrov, Nikolay D. [2 ]
Jonnalagadda, Jagan Mohan [3 ]
机构：
[1] Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Dept Estat Anal Matemat & Optimizat, Santiago De Compostela, Galicia, Spain
[2] Univ Ruse, Dept Math, Ruse 7017, Bulgaria
[3] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad 500078, Telangana, India
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 153卷
关键词：
Fractional difference; Dirichlet conditions; Green's function; Existence of solutions;
D O I：
10.1016/j.chaos.2021.111455
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A B S T R A C T This article is devoted to deduce the expression and the main properties of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In particular, it is proved that such function has constant sign on their set of definition and, moreover, it satisfies some additional strong sign conditions that are fundamental to define suitable cones, where to ensure the existence of solutions of nonlinear problems (c) 2021 Elsevier Ltd. All rights reserved.
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页数：14
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