Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems

被引：60

作者：

Erbe, L ^{[1
]}

机构：

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

[2] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 32卷 / 5-6期

基金：

加拿大自然科学与工程研究理事会;

关键词：

positive solutions; cones; fixed-point index;

D O I：

10.1016/S0895-7177(00)00150-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Criteria are established for existence of positive solutions to the BVP Lu = f(t, u), alpha u(0) - beta u'(0) = 0 = gamma u(1) + delta u'(1), where Lu := -(pu')' + qu. Here p is an element of C-1[0, 1], p > 0, q is an element of C[0, 1], q greater than or equal to 0. Conditions are given in terms of the relative behavior of the quotient (f(t, u))/u for u near 0 and infinity with respect to the smallest positive eigenvalue of Lu = lambda u satisfying the boundary conditions. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：529 / 539

页数：11

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