Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions

被引：4

作者：

Goodrich, Christopher S. ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 67卷

关键词：

Summation equation; Coercivity; Discrete calculus; Positive solution; Nonlocal boundary value problem; POSITIVE SOLUTIONS; NONNEGATIVE SOLUTIONS; SYSTEMS; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.aml.2016.11.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider summation equations having the form y(t) = gamma(t)H (Sigma(n)(i=1) alpha(i)y (xi(i))) + lambda Sigma(b)(s=0) G(t, s)f (s, y(s + 1)). By utilizing a new order cone, we are able to demonstrate the existence of at least one positive solution of the equation in the case where only pointwise conditions are imposed on the function H. This is in contrast to usual approach of employing either asymptotic or interval-type conditions on this function. Finally, we provide some applications of the abstract result to discrete boundary value problems with nonlocal boundary conditions. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：7 / 15

页数：9

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