一类含非线性边界条件的高阶微分方程解的存在性(英文)  

Existence of solutions for higher-order differential equations with nonlinear boundary conditions

作　　者：赵本生[1] 林晓洁[1] 

机构地区：[1]徐州师范大学数学科学学院,江苏徐州221116

出　　处：《应用数学与计算数学学报》2012年第1期17-27,共11页Communication on Applied Mathematics and Computation

基　　金：Project supported by the National Natural Science Foundation of China(11101349,11071205);the Natural Science Foundation of Jiangsu Province(BK2011042);the Natural Science Foundation of Education Department of Jiangsu Province(11KJB110013);Jiangsu Province Postgraduate Training Project (CX10S-038Z)

摘　　要：将上下解方法和Leray-Shauder度应用到一类含有非线性边界条件的n阶微分方程,得到了至少存在一个解的结果,并且改进和推广了文献中的某些结果.By applying the method of the upper and lower solutions and the Leray- Shauder degree to the nth-order differential equations with nonlinear boundary conditions, a result that it has at least one solution is obtained; therefore, some previous results in the reference papers are improved and generalized.

关 键 词：高阶边值问题 单边Nagumo型增长条件 上下解 Leray—Shauder度 

分 类 号：O175.8[理学—数学]