On a first-order semipositone discrete fractional boundary value problem

被引：44

作者：

Goodrich, Christopher S. ^{[1
]}

机构：

[1] Creighton Preparatory Sch, Dept Math, Omaha, NE 68114 USA

来源：

ARCHIV DER MATHEMATIK | 2012年 / 99卷 / 06期

关键词：

Discrete fractional calculus; Semipositone problem; Nonlocal boundary condition; Periodic boundary condition; Positive solution; POSITIVE SOLUTIONS; EXISTENCE; BVPS;

D O I：

10.1007/s00013-012-0463-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we demonstrate the existence of at least one positive solution to a discrete fractional semipositone boundary value problem. Our results extend existing results not only due to the fact that the problem we treat here is of fractional order but also due to the fact that the boundary condition we study is potentially very general being as it can be both nonlocal and nonlinear.

引用

页码：509 / 518

页数：10

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