北华大学学报（自然科学版）2017，Vol.18Issue(6)：710-718,9.DOI:10.11713/j.issn.1009-4822.2017.06.002
一类无穷区间上的三阶两点边值问题解的存在性
Existence of Solutions for a Third-Order Two-Point Boundary Value Problem on Infinite Intervals
摘要
Abstract
We concerned with a third-order two-point boundary value problem on infinite intervals of the form {x(′″)(t)+a(t)f(t,x(t),x′(t),x″(t))=0,t∈(0,+∞),x(0)=0,x′(0)-bx″(0)=0,x″(+∞)=c, where a ∈C([0,+∞),(0,+∞)),f∈C([0,+∞)×R 3 ,R ),b≥0,c∈R . The existence of solution is obtained by using the upper and lower solution method together with Schauder fixed point theorem for the above third-order infinite boundary value problem.关键词
三阶无穷边值问题/上下解方法/Schauder不动点定理/存在性Key words
third-order infinite boundary value problem/upper and lower solution method/Schauder fixed theorem/existence分类
数理科学引用本文复制引用
杨赞,裴明鹤..一类无穷区间上的三阶两点边值问题解的存在性[J].北华大学学报（自然科学版）,2017,18(6):710-718,9.基金项目
吉林省教育厅科学技术研究项目(2016-45). （2016-45）
