北华大学学报（自然科学版）2016，Vol.17Issue(5)：572-576,5.DOI:10.11713/j.issn.1009-4822.2016.05.003
两类非线性三阶四点边值问题解的存在性
Existence of Solutions for Two Classes of Nonlinear Third-Order Four-Point Boundary Value Problems
摘要
Abstract
By using the Leray-Schauder degree theory,we obtained the existence of solutions for nonlinear third-order differential x‴=f(t,x,x′,x″),t∈[0,1] with one of the following sets of four-point boundary conditions x(0)=0,x′(0)= αx′(ξ),x′(1)= βx′(η);x′(0)= αx′(ξ),x(1)= 0,x′(1)= βx′(η). Meanwhile,as an application of our results,an example is given.关键词
Leray-Schauder度理论/Nagumo条件/四点边值问题/存在性Key words
Leray-Schauder degree theory/Nagumo condition/four-point boundary value problem/existence分类
数理科学引用本文复制引用
林东海,裴明鹤..两类非线性三阶四点边值问题解的存在性[J].北华大学学报（自然科学版）,2016,17(5):572-576,5.基金项目
吉林省教育厅科学技术研究项目(2016-45) （2016-45）
