吉林大学学报（理学版）2016，Vol.54Issue(4)：695-699,5.DOI:10.13413/j.cnki.jdxblxb.2016.04.04
具有变号格林函数的四阶三点边值问题正解的存在性
Existence of Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function
摘要
Abstract
We applied iterative method to study the solutions for a fourth-order three-point boundary value problems,and obtained the existence of positive solutions of the problem u (4)(t)=f (t,u(t)), t ∈ [0,1], u′(0)=u″(η)=u‴(0)=u(1)=0, where f :[0,1 ]×[0,+ ∞)→ [0,+ ∞)is continuous,η∈ [ 3/3,1 ]is a constant.In the case of sign-changing Green’s function,the existence theorem of positive solution of this problem can be obtained,and the solution is monotonically decreasing,the existence of the positive solution of this problem is no longer limited to the positive Green’s function.关键词
四阶三点边值问题/正解/迭代法Key words
fourth-order three-point boundary value problem/positive solution/iterative method分类
数理科学引用本文复制引用
达举霞,韩晓玲,霍梅..具有变号格林函数的四阶三点边值问题正解的存在性[J].吉林大学学报（理学版）,2016,54(4):695-699,5.基金项目
国家自然科学基金(批准号:11561063) （批准号:11561063）
