福建师范大学学报(自然科学版)2013,Vol.29Issue(1):15-19,5.
两类带非线性混合边界条件的四阶微分方程三点边值问题
Two Classes of Three-point Boundary Value Problems for Forth-order Differential Equations with Nonlinear and Mixed Boundary Conditions
摘要
Abstract
By combining the theory of differential inequalities with the shooting method, two classes of three-point boundary value problems for forth-order differential equations with nonlinear and mixed boundary conditions are studied, then, proves the existence theorem of solution and obtains the estimation of solution.关键词
四阶微分方程/三点边值问题/微分不等式/上下解/打靶法Key words
forth-order differential equation/ three-point boundary value problem/ differential inequality/ upper and lower solution/ shooting method分类
数理科学引用本文复制引用
占小丽,余赞平,周哲彦..两类带非线性混合边界条件的四阶微分方程三点边值问题[J].福建师范大学学报(自然科学版),2013,29(1):15-19,5.基金项目
国家自然科学基金资助项目(11201072 ()
11102041) ()
中国博士后科学基金资助项目(2011M500803) (2011M500803)
福建省教育厅资助项目(JA10065) (JA10065)