Eigenvalues and discrete boundary value problems for the one-dimensional p-laplacian

被引：42
作者：
Chu, JF [1 ]
Jiang, DQ
机构：
[1] Hohai Univ, Dept Math & Phys, Nanjing 210098, Peoples R China
[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 305卷 / 02期
基金：
中国国家自然科学基金;
关键词：
positive solutions; eigenvalues; discrete boundary value problems; fixed point theorem in cones; p-laplacian;
D O I：
10.1016/j.jmaa.2004.10.055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize the eigenvalues and show existence of positive solutions to discrete boundary value problem (here phi(s) = vertical bar s vertical bar(p-2)s, P > 1 and lambda > 0 is a parameter) {Delta(phi(Delta u(i - 1))) + lambda(i, u(i)) = 0, i is an element of N = {1, 2,..., T}; u(0) = u(T + 1) = 0. (c) 2004 Elsevier Inc. All rights reserved.
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页码：452 / 465
页数：14
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