UND带Neumann边值条件的非线性微分算子逆的正性(英文)  

THE INVERSE-POSITIVITY OF A NONLINEAR DIFFERENTIAL OPERATOR WITH THE NEUMANN BOUNDARY CONDITION

作　　者：冯育强[1,2] 李寿贵[1] 

机构地区：[1]武汉科技大学理学院,湖北武汉430065 [2]清华大学数学系,北京100084

出　　处：《数学杂志》2009年第4期424-428,共5页Journal of Mathematics

基　　金：supported by Nature Science Foundation of Education Committeeof Hubei Province Q20091107;WUST(2008RC01)

摘　　要：本文研究一类带Neumann边值条件的非线性微分算子.利用Wirtinger不等式,比较定理,最大值原理以及上下解方法得到了该算子的双射性和逆算子的正性结论.In this paper, a nonlinear differential operator with Neumann boundary condition is considered. Wirtinger inequality, comparison theorem, maximum principle and lower and upper solutions method are employed to establish the bijective and the inverse-positive results for this operator.

关 键 词：NEUMANN边值问题 WIRTINGER不等式 双射 逆的正性 

分 类 号：O175.8[理学—数学]