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

被引：12

作者：

Andres, J ^{[1
]}

Jüttner, L ^{[1
]}

Pastor, K ^{[1
]}

机构：

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

来源：

SET-VALUED ANALYSIS | 2005年 / 13卷 / 01期

关键词：

Sharkovskii's theorem; multivalued version; periodic orbits; application to differential equations and inclusions;

D O I：

10.1007/s11228-004-8200-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

A multivalued version of the celebrated Sharkovskii theorem is established which is applicable to differential equations and inclusions for obtaining subharmonic periodic solutions. The results in our earlier paper (Set-Valued Anal. 10(l) (2002), 1-14) are completed to a sharp form. A multivalued analogue of the Levinson transformation theory (dissipativity implies the existence of harmonics) is stated.

引用

页码：47 / 68

页数：22

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