Sharkovskii's theorem for connectivity Gδ-relations

被引：8

作者：

Andres, Jan

Snyrychova, Pavla

Szuca, Piotr

机构：

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

[2] Univ Gdansk, Dept Math, PL-80952 Gdansk, Poland

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 08期

关键词：

Sharkovskii's theorem; G(delta)-relation; connected graph; periodic orbits; multivalued maps; discontinuous functions;

D O I：

10.1142/S0218127406016136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A version of Sharkovskii's cycle coexistence theorem is formulated for a composition of connectivity G(delta)-relations with closed values. Thus, a multivalued version in [Andres & Pastor, 2005] holding with at most two exceptions for M-maps, jointly with a single-valued version in [Szuca, 2003], for functions with a connectivity G(delta)-graph, are generalized. In particular, our statement is applicable to differential inclusions as well as to some discontinuous functions.

引用

页码：2377 / 2393

页数：17

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