Stable index pairs for dispersive dynamical systems
Bull. Korean Math. Soc. 2011 Vol. 48, No. 1, 35-50
https://doi.org/10.4134/BKMS.2011.48.1.35
Published online January 1, 2011
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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