摘要
运用锥理论和不动点指数方法,通过对相应的线性算子第一特征值的讨论,获得了一端固定一端悬空的弹性梁方程正解的存在性,所给的正解存在充分性条件所涉及的数值是最优的,并推广和改进了一些已知结果.
The existence of positive solution to equation of elastic beam with one end fixed and the other end suspended is obtained through discussion about the first characteristic value of corresponding linear operator with cone theory and fixed point index method.The value involved in existence of sufficiency conditions for the given positive solution is optimal and some known results are promoted and improved.
作者
纪宏伟
JI Hong-wei(Department of Mathematics and Physics,Nantong Normal College,Nantong 226010,Jiangsu,China)
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2018年第5期384-387,391,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
江苏省髙等教育科研项目(16YB161)
江苏省高校青蓝工程基金(2014)
关键词
弹性梁方程
正解
不动点指数
锥
equation of elastic beam
positive solution
fixed point index
cone
