Positive solutions of a singular ordinary differential equation relevant in Mathematical Physics

被引：0

作者：

Gomes, JM ^{[1
]}

Sanchez, L ^{[1
]}

机构：

[1] Univ Lisbon, Fac Ciencias, P-1649003 Lisbon, Portugal

来源：

FIRST 60 YEARS OF NONLINEAR ANALYSIS OF JEAN MAWHIN | 2004年

关键词：

D O I：

10.1142/9789812702906_0008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of positive solutions for the 2nd order ordinary differential equation u" + k(u')/(t) = c(t)g(u) such that u'(0) = 0 in bounded intervals [0, M] and in [0, +infinity]. Here k > 1 and the functions c(t) and g(u) are bounded. In our approach a shooting argument of Beresticky, P. L. Lions and Peletier is combined with variational methods.

引用

页码：89 / 102

页数：14

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