On a multivalued version of the Sharkovskii theorem and its application to differential inclusions

被引：31

作者：

Andres, J ^{[1
]}

Fiser, J ^{[1
]}

Jüttner, L ^{[1
]}

机构：

[1] Palacky Univ, Fac Sci, Dept Math Anal, Olomouc 77900, Czech Republic

来源：

SET-VALUED ANALYSIS | 2002年 / 10卷 / 01期

关键词：

Sharkovskii theorem; Li-Yorke theorem; periodic orbits; subharmonics; multivalued version; differential inclusions; multiplicity results;

D O I：

10.1023/A:1014488216807

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Motivated by the applications to differential equations without uniqueness conditions, we separately prove multivalued versions of the celebrated Sharkovskii and Li-Yorke theorems. These are then applied, via multivalued Poincare operators, to Caratheodory differential inclusions. Thus, besides another, infinitely many subharmonics of all integer orders can be obtained. Unlike in the single-valued case, for example, period three brings serious obstructions. Three counter-examples, related to these complications, are therefore presented as well. In a multivalued setting, new phenomena are so exhibited.

引用

页码：1 / 14

页数：14

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