Conley type index applied to Hamiltonian inclusions

被引：8

作者：

Dzedzej, Zdzisfaw ^{[2
]}

Kryszewski, Wojdech ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

[2] Gdansk Univ Technol, Fac Tech Phys & Appl Math, PL-80952 Gdansk, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 347卷 / 01期

关键词：

Conley index; multivalued dynamical system; Hamiltonian inclusion;

D O I：

10.1016/j.jmaa.2008.05.081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we develop the theory of a cohomological index of the Conley type detecting invariant sets of a multivalued dynamical system generated by semilinear differential inclusion in an infinite dimensional Hilbert space. An application to the existence of periodic orbits to asymptotically linear Hamiltonian inclusions is presented. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：96 / 112

页数：17

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