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Abstract We propose a new approach for proving uniqueness of semi-wavefronts in generally non-monotone monostable reaction–diffusion equations with distributed delay. This allows to solve an open problem concerning the uniqueness… Click to show full abstract
Abstract We propose a new approach for proving uniqueness of semi-wavefronts in generally non-monotone monostable reaction–diffusion equations with distributed delay. This allows to solve an open problem concerning the uniqueness of non-monotone (hence, slowly oscillating) semi-wavefronts to the KPP–Fisher equation with delay. Similarly, a broad family of the Mackey–Glass type diffusive equations is shown to possess a unique (up to translation) semi-wavefront for each admissible speed.
Keywords:
approach wave;
uniqueness problem;
approach;
wave uniqueness;
simple approach;
problem
Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!