| 一类二阶半正问题正解的存在性 |
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| 引用本文： | 石轩荣.一类二阶半正问题正解的存在性[J].山东大学学报(理学版),2023,58(4):89-96. |
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| 作者姓名： | 石轩荣 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(12061064) |
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| 摘 要： | 研究二阶半正问题■正解的存在性，其中λ为正参数，α,δ>0为常数，b,c∈C(0,∞),0,∞)),h∈C(0,1],0,∞)),f∈C(0,∞),R),f>-M(M>0)且f∞:■。主要定理的证明基于Krasnoselskii不动点定理。
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| 关 键 词： | 正解 半正问题 存在性 Krasnoselskii不动点定理 |
Existence of positive solutions for a class of second order semipositone problems |
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| SHI Xuan-rong.Existence of positive solutions for a class of second order semipositone problems[J].Journal of Shandong University,2023,58(4):89-96. |
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| Authors: | SHI Xuan-rong |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | The existence of positive solutions for the second order semipositone problem{-u″(t)=λh(t)f(u(t)), t∈(0,1),αu(0)-b(u'(0))u'(0)=0, c(u(1))u(1)+δu'(1)=0 is studied, where λ is a positive parameter,α,δ>0 are constants,b,c∈C(［0,∞),［0,∞)),h∈C(［0,1］,［0,∞)), f∈C(［0,∞),R), f >-M(M>0)and f∞:=limx→∞(f(x))/x=∞。The proof of the main theorems is based on fixed point theorem of Krasnoselskii. |
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| Keywords: | positive solution semipositone problem existence Krasnoselskii fixed point theorem |
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