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测度链上非线性微分方程的三正解

柏传志

数学杂志2004,Vol.24Issue(4):361-364,4.
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

柏传志1

作者信息

  • 1. 南京大学数学系,江苏,南京,210093;淮阴师范学院数学系,江苏,淮安,223001
  • 折叠

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)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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