Existence of three positive solutions to a second-order boundary value problem on a measure chain

被引：35

作者：

Avery, RI

Anderson, DR ^{[1
]}

机构：

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

[2] Dakota State Univ, Coll Nat Sci, Madison, SD 57042 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 141卷 / 1-2期

关键词：

measure chains; boundary value problem;

D O I：

10.1016/S0377-0427(01)00436-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Growth conditions are imposed on f such that the boundary value problem -x(DeltaDelta)(t) = f(x(a)(t)), tis an element of [t(1), t(2)], lambdax(t(1)) - etax(Delta)(t(1)) = 0 and mux(sigma(t(2))) + deltax(Delta)(sigma(t(2))) = 0, where t(1) < t(2) from a measure chain T, has at least three positive solutions by way of the five functionals fixed point theorem. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：65 / 73

页数：9

共 26 条

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[2]

Agarwal R.P., 1999, POSITIVE SOLUTIONS D

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