摘要
应用不动点指数的计算结果,证明了一类非线性项依赖于未知函数导数的3阶边值问题正解的存在性.这类边值问题具有与已有文献中所讨论问题不同的阶数、边值条件和奇异性,最后给出1个例子作为对所获得结果的应用.
By means of the methods of fixed point index computation,the existence of positive solutions of a class of third-order boundary-value problems with derivative dependence is proved. The boundary-value problems considered possess different order,boundary conditions and singularity from those in previous works. An example is given to apply the results obtained.
出处
《江西师范大学学报(自然科学版)》
CAS
北大核心
2016年第4期349-353,368,共6页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(61473065)资助项目
关键词
非线性项含有导数
3阶边值
正解
derivative dependence
third-order boundary-value
positive solution