北华大学学报（自然科学版）Issue(4)：433-437,5.DOI:10.11713/j.issn.1009-4822.2014.04.003
一类三阶非线性奇异两点边值问题正解的存在性
Existence of Positive Solution for a Class of Singular Nonlinear Third-Order Two-point Boundary Value Problem
摘要
Abstract
The existence of positive solution for certain class of singular nonlinear boundary value problem y‴( t)=f(t,y,-y′),t∈(0,1),y(1)=y′(0)=y″(1)=0, is studied,where f(t,y1,y2):(0,1)×(0,¥)2→(0,¥) is continuous and f(t,y1,y2) may be singular at t=0,t=1 and y1=y2=0. By using a fixed point theorem for cones, a sufficient condition for the existence of a positive solution is presented.关键词
三阶非线性微分方程/奇异边值问题/正解Key words
third-order nonlinear differential equation/singular boundary value problem/positive solution分类
数理科学引用本文复制引用
靳曼莉,林玉国..一类三阶非线性奇异两点边值问题正解的存在性[J].北华大学学报（自然科学版）,2014,(4):433-437,5.基金项目
国家自然科学基金青年基金项目(11201008) （11201008）
