Three positive solutions to a discrete focal boundary value problem

被引：55

作者：

Anderson, D

Avery, R

Peterson, A

机构：

[1] Concordia Coll Moorhead, Dept Math & Comp Sci, Moorhead, MN 56562 USA

[2] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 88卷 / 01期

关键词：

difference equations; Green's function; fixed points;

D O I：

10.1016/S0377-0427(97)00201-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the discrete focal boundary value problem Delta(3)x(t - k) = f(x(t)), x(a) = Delta x(t(2)) = Delta(2)x(b + 1) = 0. Under various assumptions on f and the integers a, t(2), and b we prove the existence of three positive solutions of this boundary value problem. To prove our results we use fixed point theorems concerning cones in a Banach space. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：103 / 118

页数：16

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