Existence, Uniqueness, and Asymptotic Stability of Traveling Waves in Nonlocal Evolution Equations
نویسندگان
چکیده
The existence, uniqueness, and global exponential stability of traveling wave solutions of a class of nonlinear and nonlocal evolution equations are established. It is assumed that there are two stable equilibria so that a tr aveling wave is a solution that connects them. A basic assumption is the comparison principle: a smaller initial value produces a smaller solution. When applied to di erential equations or integro-di erential equations, the result recovers and/or complements a number of existing ones.
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