FIXED SET THEOREMS FOR DISCRETE DYNAMICS AND NONLINEAR BOUNDARY-VALUE PROBLEMS

被引：0
|
作者：
Brooks, Robert [1 ]
Schmitt, Klaus [1 ]
Warner, Brandon [1 ]
机构：
[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年
关键词：
Fixed sets; function system; self-similar sets; invariant sets; Hausdorff metric; Hausdorff topology; boundary value problem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider self-mappings of Hausdorff topological spaces which map compact sets to compact sets and establish the existence of invariant (fixed) sets. The fixed set results are used to provide fixed set analogues of well-known fixed point theorems. An algorithm is employed to compute the existence of fixed sets which are self-similar in a generalized sense. Some numerical examples are given. The utility of the abstract result is further illustrated via the study of a boundary value problem for a system of differential equations
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页数：15
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