One-Dimensional Nonlinear Laplacians under a 3-Point Boundary Condition

被引：0
|
作者：
Bruce D.CALVERT [1 ]
机构：
[1] Department of Mathematics, University of Auckland
来源：
Acta Mathematica Sinica(English Series) | 2010年 / 26卷 / 09期
关键词：
Boundary value problems; nonlinear o.d.e.s; p-Laplacian; three-point boundary value problem; m-dissipative;
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
摘要：
We consider a three-point boundary value problem for operators such as the one-dimensionalp-Laplacian, and show when they have solutions or not, and how many. The inverse operatorsare given by various formulas involving zeros of a real-valued function. They are shown to be orderpreserving,for some parameter values, and non-singleton valued for others. The operators are shownto be m-dissipative in the space of continuous functions.
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页码：1641 / 1652
页数：12
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