| 一类变号(k,n-k)共轭边值问题正解的存在性 |
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| 引用本文： | 王峰,张辉明.一类变号(k,n-k)共轭边值问题正解的存在性[J].数学的实践与认识,2021(6):283-289. |
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| 作者姓名： | 王峰 张辉明 |
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| 作者单位： | 江苏联合职业技术学院盐城机电分院基础部;东南大学数学系 |
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| 基金项目： | 江苏省教育科学“十三五”规划课题基金资助(B-b20200348);江苏省高校“青蓝工程”。 |
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| 摘 要： | 通过构造一个特殊的锥,利用范数形式的锥拉伸锥压缩不动点定理,在允许非线性项变号无下界且没有任何单调性假设的条件下,得出了一类高阶(k,n-k)共轭两点边值问题方程组正解的存在性结论.
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| 关 键 词： | 变号边值问题 正解 锥 不动点定理 |
Existence of Positive Solutions for Semipositone(k,n-k)Conjugate Boundary Value Problems |
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| WANG Feng,ZHANG Hui-ming.Existence of Positive Solutions for Semipositone(k,n-k)Conjugate Boundary Value Problems[J].Mathematics in Practice and Theory,2021(6):283-289. |
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| Authors: | WANG Feng ZHANG Hui-ming |
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| Institution: | (Yancheng College of Mechatronic Technology,Jiangsu Union Technical Institute,Yancheng 224005,China;Department of Mathematics,Southeast University,Nanjing 210018,China) |
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| Abstract: | By constructing a special cone and using the fixed point theorem concerning cone compression and expansion in norm type,without making any monotone-type assumption,the existence of positive solution is obtained in the paper for the two-point conjugate boundary value problem of the higher order(k,n-k) differential system,which nonlinearrities are both semipositone and unbounded. |
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| Keywords: | semipositone boundary value problems positive solution cone fixed point theorem |
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