| 测度链上非线性微分方程的三正解 |
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| 引用本文： | 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 |
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| 作者姓名： | 柏传志 |
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| 作者单位： | 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 |
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| 基金项目： | SupportedbytheNaturalScienceFoundationofJiangsuEducationOffice(0 3KJD1 1 0 0 56) |
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| 摘 要： | 运用文[1]中的Leggett—Williams不动点定理，我们给出了测度链上的非线性微分方程-x^△△(t)=f(t,x(σ(t))),t∈[a,b,]关于两点边值条件ax(a)-βx^△(a)=0，γx(σ(b)) δx^△(σ(b))=0三正解存在性准则。
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| 关 键 词： | 边界值问题 测度链 三正解 Leggett—Williams不动点定理 |
TRIPLE POSITIVE SOLUTIONS FOR A NONLINEAR DIFFERENTIAL EQUATION ON A MEASURE CHAIN |
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| Abstract. TRIPLE POSITIVE SOLUTIONS FOR A NONLINEAR DIFFERENTIAL EQUATION ON A MEASURE CHAIN[J]. Journal of Mathematics, 2004, 24(4): 361-364 |
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| Authors: | Abstract |
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| 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]. |
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| Keywords: | boundary value problem measure chain triple positive solutions (Leggett-Williams) fixed point theorem |
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