Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian

被引：77

作者：

Avery, R

Henderson, J ^{[1
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 277卷 / 02期

关键词：

D O I：

10.1016/S0022-247X(02)00308-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply the Five Functionals Fixed Point Theorem to verify the existence of at least three positive pseudo-symmetric solutions for the three point boundary value problem, (g(u'))' + a(t) f (u) = 0, u(0) = 0, and u(v) = u(1), where g(v) = \v\(p-2)v, with p > 1 and v is an element of (0, 1). (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：395 / 404

页数：10

共 10 条

[1]

Agarwal R.P., 1999, POSITIVE SOLUTIONS D

[2]

[Anonymous], 1998, MSR HOT LINE

[3] Three symmetric positive solutions for a second-order boundary value problem [J].