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Stability of Steady Solutions to Reaction-Hyperbolic Systems for Axonal Transport

arXiv:1109.3541

Abstract

This paper is concerned with the stability of steady solutions to initial-boundary-value problems of reaction-hyperbolic systems for axonal transport. Under proper structural assumptions, we clarify the relaxation structure of the reaction-hyperbolic systems and show the time-asymptotic stability of steady solutions or relaxation boundary-layers.