数学杂志2004,Vol.24Issue(4):361-364,4.
测度链上非线性微分方程的三正解
TRIPLE POSITIVE SOLUTIONS FOR A NONLINEAR DIFFERENTIAL EQUATION ON A MEASURE CHAIN
摘要
Abstract
Criteria are developed for the existence of three positive solutions for the nonlinear differential equation - x△△ (t) = f ( t, x (a (t) ) ), t∈ [ a, b] with general two points boundary conditions αx(a) -βx△(a) = 0, γx(a(b) ) +δx△ (σ(b) ) = 0 on a measure chain by using LeggettWilliams fixed point theorem[1].关键词
边界值问题/测度链/三正解/Leggett-Williams不动点定理Key words
boundary value problem/measure chain/triple positive solutions/Leggett-Williams fixed point theorem分类
数理科学引用本文复制引用
柏传志..测度链上非线性微分方程的三正解[J].数学杂志,2004,24(4):361-364,4.基金项目
Supported by the Natural Science Foundation of Jiangsu Education Office(03KJD110056) (03KJD110056)