对一类非线性Neumann边值问题的研究(英文)  

Studyon a Kind of Nonlinear Neumann Boundary Value Problems

作　　者：魏利[1] 刘元星[1] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061

出　　处：《应用数学》2015年第1期99-109,共11页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11071053);the Natural Science Foundation of Hebei Province(A2014207010);the Key Project of Science and Research of Hebei Educational Department(ZH2012080);the Key Project of Science and Research of Hebei University of Economics and Business(2013KYZ01)

摘　　要：利用H-增生映射的性质,得到一类非线性Neumann边值问题解的存在唯一性的结论.文中所研究的方程是对以往工作的推广.证明方法得到简化.文中列举的一些例子还有助于进一步了解H-增生映射.By using the properties of H-accretive mappings, we obtain the existence of the unique solution of a kind of nonlinear Neumann boundary value problems. The equation discussed in this paper generalizes some of the previous work. The proof techniques is simplified compared to the cor- responding discussions. Some examples are demonstrated,which can help us to have a better under- standing of H-accretive mappings.

关 键 词：H-增生映射 hemi连续映射 CARATHEODORY条件 非线性方程 NEUMANN边值 

分 类 号：O177.91[理学—数学]