| 一类含参半正二阶离散周期边值问题正解的存在性 |
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| 引用本文： | 王瑞,路艳琼. 一类含参半正二阶离散周期边值问题正解的存在性[J]. 吉林大学学报(理学版), 2021, 59(4): 725-730. DOI: 10.13413/j.cnki.jdxblxb.2020407 |
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| 作者姓名： | 王瑞 路艳琼 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 用Guo-Krasnoselskii不动点定理给出半正二阶离散周期边值问题{Δ2 u(t-1)+a(t)u(t)=λf(t,u(t)),t∈[1,T]?,u(0)=u(T),Δu(0)=Δu(T)正解的存在性和多解性结果,其中λ>0为参数,[1,T]?={1,2,…,T},f:[1,T]?×[0,∞)→?连续且存在常数...
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| 关 键 词： | 周期边值问题 半正问题 正解 不动点定理 |
| 收稿时间： | 2020-12-08 |
Existence of Positive Solutions for a Class of Semi-positone Second-Order Discrete Periodic Boundary Value Problem with Parameter |
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| WANG Rui,LU Yanqiong. Existence of Positive Solutions for a Class of Semi-positone Second-Order Discrete Periodic Boundary Value Problem with Parameter[J]. Journal of Jilin University: Sci Ed, 2021, 59(4): 725-730. DOI: 10.13413/j.cnki.jdxblxb.2020407 |
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| Authors: | WANG Rui LU Yanqiong |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using the fixed-point theorem of Guo-Krasnoselskii, we give the existence and multiplicity of positive solution for semi-positone second-order discrete periodic boundary value problem, where λ>0 is the parameter, ［1,T］z={1,2,…,T}, f: ［［1,T］z×［0,∞)→R is continuous and there exists constant D>0, such that f(t,u)≥-D, (t,u)∈［1,T］z×［0,∞), a: ［［1,T］z→(0,∞) and 0sin2(π/2T). |
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| Keywords: | periodic boundary value problem semi-positone problem positive solution fixed point theorem
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