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.
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.
作者
王峰
张辉明
WANG Feng;ZHANG Hui-ming(Yancheng College of Mechatronic Technology,Jiangsu Union Technical Institute,Yancheng 224005,China;Department of Mathematics,Southeast University,Nanjing 210018,China)
出处
《数学的实践与认识》
2021年第6期283-289,共7页
Mathematics in Practice and Theory
基金
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”。
关键词
变号边值问题
正解
锥
不动点定理
semipositone boundary value problems
positive solution
cone
fixed point theorem
