Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
type: Item
instance of: scholarly article
title: Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
zbMATH Open document ID: 0939.35016
author: Wenxian Shen
published in: Journal of Differential Equations
publication date: 2000-06-19T00:00:00Z
review text: This is the first of a series of two papers concerning traveling wave solutions of time almost periodic nonlinear evolution equations. The subtitles determining closer the subjects of the papers are: I. Stability and Uniqueness, II. Existence. In the present paper a definition of almost periodic traveling wave solutions is introduced and stability and uniqueness of such solutions of time almost periodic bistable nonlinear equations with one dimensional continuous space variable are established. The stability and uniqueness of such solutions of time almost periodic bistable equations with one dimensional discrete space variable are investigated. [For part II see ibid. 159, 55-101 (1999; Zbl 0939.35016)].
reviewed by: Ivan Ginchev
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 1389117
zbMATH Keywords: bistable nonlinear evolution equations
zbMATH Keywords: almost periodic traveling wave solutions
zbMATH Keywords: stability
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: jdeq.1999.3651
OpenAlex ID: W2075182728
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DOI: 10.1006/JDEQ.1999.3651