Positive solutions of nonlinear singular boundary value problem in abstract space

被引：0

作者：

Liu, YS ^{[1
]}

Qi, AQ

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

[2] Binzhou Med Coll, Dept Math, Shandong 256603, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 4-5期

关键词：

singular equation; fixed point; positive solution;

D O I：

10.1016/S0898-1221(04)90055-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By constructing a particular closed convex set and applying the Monch fixed-point theorem, we study the existence of apositive solutions of singular boundary value problem x"(t) + f(t, x(t)) = 0, t is an element of (0, 1), x(0) = x(1) = 0, in Banach space, singularities occuring at t = 0, 1, and x = theta. Our method is completely distinct from what the former literatures used even if we discuss the above problem in scalar space. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：683 / 688

页数：6

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