A version of Sharkovskii's theorem for differential equations

被引：13

作者：

Andres, J ^{[1
]}

Pastor, K ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 02期

关键词：

Sharkovskii's theorem; applicable (multivalued) version; M-maps; (primary) orbits; translation operators; subharmonics; multiplicity results;

D O I：

10.1090/S0002-9939-04-07627-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a version of the Sharkovskii cycle coexistence theorem for differential equations. Our earlier applicable version is extended here to hold with the exception of at most two orbits. This result, which ( because of counter-examples) cannot be improved, is then applied to ordinary differential equations and inclusions. In particular, if a time-periodic differential equation has n-periodic solutions with n not equal 2(m), for all m is an element ofN, then in finitely many subharmonics coexist.

引用

页码：449 / 453

页数：5

共 9 条

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