节点文献
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】 结合微分不等式理论与打靶法,研究了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,证明了解的存在性定理并得到了解的估计.
【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；
【Key words】 forth-order differential equation； three-point boundary value problem； differential inequality； upper and lower solution； shooting method；
【基金】 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);福建省教育厅资助项目(JA10065)
- 【文献出处】 福建师范大学学报(自然科学版) ,Journal of Fujian Normal University(Natural Science Edition) , 编辑部邮箱 ,2013年01期
- 【分类号】O175.8
- 【被引频次】6
- 【下载频次】96