POSITIVE SOLUTIONS FOR A CLASS OF SEMILINEAR 2-POINT BOUNDARY-VALUE-PROBLEMS

被引:13
|
作者
SANCHEZ, L [1 ]
机构
[1] INST NACL INVEST CIENTIF, CTR MATEMAT & APLICACOES FUNDAMENTAIS, P-1699 LISBON, PORTUGAL
关键词
D O I
10.1017/S0004972700030331
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the existence of positive solutions of the periodic, Neumann or Dirichlet problem for the semilinear equation u" + f (t, u) = 0, 0 less-than-or-equal-to t less-than-or-equal-to T, where f is a Caratheodory function. Our assumptions in each case are such that the problem possesses a lower solution or an upper solution.
引用
收藏
页码:439 / 451
页数:13
相关论文
共 50 条