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.
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页码：2377 / 2393
页数：17
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