| 二阶差分方程边值问题正解的存在性 |
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| 引用本文： | 王媛.二阶差分方程边值问题正解的存在性[J].西南大学学报,2009,31(7). |
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| 作者姓名： | 王媛 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,兰州,730070 |
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| 摘 要： | 运用Krasnoselskii不动点定理考察了二阶差分方程边值问题{△2u(k-1)+a(k)f(u(k))=0,k∈1,T]z/u(0)=0,u(T+1)=αu(τ)1个及2个正解的存在性,其中f:0,∞)→0,∞)连续,T∈Z且T≥3,τ∈2,T-1]z.Abstract：In this paper, we use the Krasnoselskii fixed piont theorem to study the existence of one or two positive solutions of second-order boundary value problems for difference equations {△2u(k- 1) +a(k)f(u(k)) = 0, k ∈ 1, T]z/u(0) = 0, u(T + 1) = αu(τ)where of: 0, ∞) → 0, ∞) is continuous, T ∈ Z and T≥ 3, τ∈ 2, T- 1]z.
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| 关 键 词： | 差分方程 正解 不动点 |
Existence of Positive Solutions of Second-Order Boundary Value Problems for Difference Equations |
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| WANG Yuan.Existence of Positive Solutions of Second-Order Boundary Value Problems for Difference Equations[J].Journal of Southwest Agricultural University,2009,31(7). |
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| Authors: | WANG Yuan |
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