| 非线性三阶三点边值问题多个正解的存在性 |
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| 引用本文： | 张瑞燕. 非线性三阶三点边值问题多个正解的存在性[J]. 吉林大学学报(理学版), 2021, 59(5): 1050-1056. DOI: 10.13413/j.cnki.jdxblxb.2021001 |
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| 作者姓名： | 张瑞燕 |
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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： | 用锥上不动点定理研究非线性三阶三点边值问题{u(″)(t)-ρu′(t)+f(t,u(t))=0,t∈[0,1],u(0)=u′(0)=0,u′(1)=αu′(η)多个正解的存在性,其中ρ>0为一个常数,0<η<1,α>0,f:[0,1]×[0,∞)→[0,∞)是一个连续函数.结果表明:当f满足一定条件时,该问题存在可...
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| 关 键 词： | 非线性 三阶 不动点定理 多个正解 Green函数 |
| 收稿时间： | 2021-01-07 |
Existence of Multiple Positive Solutions for Nonlinear Third-Order Three-Point Boundary Value Problems |
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| ZHANG Ruiyan. Existence of Multiple Positive Solutions for Nonlinear Third-Order Three-Point Boundary Value Problems[J]. Journal of Jilin University: Sci Ed, 2021, 59(5): 1050-1056. DOI: 10.13413/j.cnki.jdxblxb.2021001 |
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| Authors: | ZHANG Ruiyan |
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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 in cones, the author study the existence of multiple positive solutions for nonlinear third-order three-point boundary value problems where ρ>0 is a constant, 0<η<1, α>0, f: ［0,1］×［0,∞)→［0,∞) is a continuous function. The results show that when f satisfies certain conditions, there are countable multiple positive solutions for the problem. |
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| Keywords: | nonlinear third-order fixed point theorem multiple positive solutions Green’s function |
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