吉林大学学报（理学版）2018，Vol.56Issue(2)：208-214,7.DOI:10.13413/j.cnki.jdxblxb.2018.02.04
一类完全三阶常微分方程边值问题的正解
Positive Solutions for a Class of Fully Third-Order Ordinary Differential Equation Boundary Value Problem
摘要
Abstract
By using the fixed point index theory in cones and derivative estimates technique,we studied the existence of positive solutions for the fully third-order boundary value problem (-u?(t)=f(t,u(t),u′(t),u″(t)), t∈[0 ,1 ], {u(0)=u′(0)=u″(1)=0,)where f:[0,1]×?3+→?+ was continuous.The existence results of positive solutions were obtained under the condition that f(t,x,y,z)satisfied some inequalities when (x,y,z) was small or large enough.These inequality conditions allowed that f(t,x,y,z)was superlinear or sublinear growth on x,y,z.关键词
完全三阶边值问题/正解/锥/不动点指数Key words
fully third-order boundary value problem/positive solution/cone/fixed point index分类
数理科学引用本文复制引用
李嫣红,李永祥..一类完全三阶常微分方程边值问题的正解[J].吉林大学学报（理学版）,2018,56(2):208-214,7.基金项目
国家自然科学基金(批准号:11661071 （）
11261053). （）
