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一类非线性四阶差分方程边值问题正解的存在性准则

Existence Criterion of Positive Solutions of a Nonlinear Discrete Fourth-order Boundary Value Problem
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摘要 运用不动点指数理论,获得了非线性四阶差分方程边值问题Δ4u(t-2)=λf(t,u(t)),t∈T2,u(0)=u(T+2)=Δu(0)=Δu(T+1)=0正解的存在性准则,其中,T2={2,3,…,T},f:T2×R→[0,∞)连续且T>4,λ>0为参数. The existcnce criterion of positive solutions of the nonlinear fourth-order difference equation boundary value problem was obtained:by using the fixed point index theorem, where T2={2,3,…,r,},f:T2×R→[0,∞) was continuous, T 〉 4 and λ 〉 0 was a parameter.
作者 刘览 胡宏
出处 《郑州大学学报(理学版)》 CAS 北大核心 2013年第4期30-36,共7页 Journal of Zhengzhou University:Natural Science Edition
关键词 四阶差分方程 正解 存在性 不动点指数 fourth-order difference equation positive solution existence fixed point index
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参考文献16

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