ON THE UNIQUENESS OF POSITIVE SOLUTIONS FOR TWO-POINT BOUNDARY VALUE PROBLEMS OF EMDEN-FOWLER DIFFERENTIAL EQUATIONS

被引：0

作者：

Tanaka, Satoshi ^{[1
]}

机构：

[1] Okayama Univ Sci, Fac Sci, Dept Appl Math, Ridaichou 1-1, Okayama 7000005, Japan

来源：

MATHEMATICA BOHEMICA | 2010年 / 135卷 / 02期

关键词：

uniqueness; positive solution; two-point boundary value problem; Emden-Fowler equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The two-point boundary value problem u'' + h(x)u(p) = 0, a < x < b, u(a) = u(b) = 0 is considered, where p > 1, h is an element of C-1 [0, 1] and h(x) > 0 for a <= x <= b. The existence of positive solutions is well-known. Several sufficient conditions have been obtained for the uniqueness of positive solutions. On the other hand, a non-uniqueness example was given by Moore and Nehari in 1959. In this paper, new uniqueness results are presented.

引用

页码：189 / 198

页数：10

共 15 条

[1] ON POSITIVE SOLUTIONS OF BOUNDARY-VALUE PROBLEMS FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS [J].