Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2011; 48(1): 35-50

Printed January 1, 2011

https://doi.org/10.4134/BKMS.2011.48.1.35

Copyright © The Korean Mathematical Society.

Stable index pairs for dispersive dynamical systems

Yoon Hoe Goo and Jong-Suh Park

Hanseo University, Chungnam National University

Abstract

We construct the index pairs of an isolated neighborhood for a dispersive dynamical system and investigate the existence of an index pair which is stable under small perturbations of the dispersive dynamical systems.

Keywords: index pair, dispersive dynamical systems, $I$-solution, isolating neighborhood

MSC numbers: Primary 37B30; Secondary 54H20

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