An application of topological transversality to non-positive higher order difference equations

被引：5

作者：

Agarwal, RP

Wong, FH

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Natl Taipei Teachers Coll, Dept Math & Sci, Taipei 10659, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 99卷 / 2-3期

关键词：

non-positive higher order boundary value problem; positive solution; operator equation; a priori bounds; fixed point; difference equations;

D O I：

10.1016/S0096-3003(98)00005-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we shall provide sufficient conditions on the non-positive function f(i,u(1),...,u(n-1)) so that the boundary value problem (BVP) given by (E) Delta(n)u(i) + mu f(i, u(i), Delta u(i),..., Delta(n-2)(i)) = 0, and (BC) Delta(m)u(0) = 0, 0 less than or equal to m less than or equal to n- 3,alpha Delta(n-2)(0) -beta Delta(n-1)u(0) = 0, gamma Delta(n-2)u(T + 1) + delta Delta(n-1)u(T + 1) = 0, has at least one positive solution. (C) 1999 Published by Elsevier Science Inc. All rights reserved.

引用

页码：167 / 178

页数：12

共 40 条

[1]

Agarwal R.P., 1997, Advanced Topics in Difference Equations, DOI 10.1007/978-94-015-8899-7

[2] Boundary value problems for discrete equations [J].