重庆理工大学学报（自然科学版）2017，Vol.31Issue(1)：158-164,7.DOI:10.3969/j.issn.1674-8425(z).2017.01.024
一类四阶微分方程两点边值问题正解及多个正解的存在性
Existence and Multiplicity of Positive Solutions for a Class of Fourth-order Differential Equations of Two-Point Boundary Value Problem
摘要
Abstract
Based on the fixed-point index theory,this paper investigates the existence of positive solution and multiplicity of one simple-supported and the other sliding-supported fourth-order two-point boundary value problem with parameter. {u(4)(t)-λu(t)=f(t,u(t)),t∈(0,1 )u(0)=u′(1 )=u″(0)=u′″(1 )=0关键词
四阶边值问题/不动点指数/正解/第一特征值Key words
fourth-order boundary value problem/fixed point index/positive solution/first eigenvalue.分类
数理科学引用本文复制引用
李洋..一类四阶微分方程两点边值问题正解及多个正解的存在性[J].重庆理工大学学报（自然科学版）,2017,31(1):158-164,7.基金项目
国家自然科学基金资助项目(11572148) （11572148）
高等学校博士学科点专项科研基金资助项目(20133218110025) （20133218110025）
