Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness (Q1960909): Difference between revisions

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)].