摘要
研究一类含参数的非线性四阶多点边值问题,当参数属于一定范围时,利用常数变易法求得与边值问题等价的函数,并对它进行上下界估计,同时利用锥不动点定理,证明该四阶边值问题正解的存在性.
This paper probes into a group of contains parameter of nonlinear fourth-order multi-point boundary problems.When the parameter belongs to a certain range,constant variation method is used to calculate the G function which equals to boundary problem.And for the upper and lower bounds of the estimates,finally using cone theorem,prove the existence of positive solutions of fourth-order boundary value problem.
出处
《东北石油大学学报》
CAS
北大核心
2014年第4期97-102,12,共6页
Journal of Northeast Petroleum University
基金
黑龙江省教育厅科学技术研究项目(12541076)
关键词
四阶边值问题
常数变易法
锥定理
正解
fourth-order boundary value problem
constant variation method
cone theorem
positive solutions
