Positive solutions for a class of singular semipositone boundary value problems

被引：9

作者：

Stanek, S ^{[1
]}

机构：

[1] Palacky Univ, Fac Sci, Dept Math Anal, Olomouc 77900, Czech Republic

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2001年 / 33卷 / 4-5期

关键词：

singular boundary value problem; second-order differential equation; positive solution;

D O I：

10.1016/S0895-7177(00)00249-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper presents sufficient conditions for the existence of positive solutions to the singular boundary value problem x " = muq(t)f(t, x, x'), alphax(0) - betax'(0) = a > 0, x(T) = 0 with q > 0 on (0, T), f greater than or equal to 0 on a suitable subset of [0, T] x (0, infinity) x R which may be singular at x = 0 and where either alpha, beta is an element of (0, infinity) or alpha = 0, beta = 1. Proofs are based on regularity and sequential techniques. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：353 / 361

页数：9

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