A simple approach to the wave uniqueness problem
DOI10.1016/j.jde.2018.11.012zbMath1410.34189arXiv1808.04857OpenAlexW2886640552MaRDI QIDQ1731864
Abraham Solar, Sergei I. Trofimchuk
Publication date: 14 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04857
uniquenessmonostable equationnon-monotone reactionKPP-Fisher delayed equationMackey-Glass type diffusive equation
Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Boundary value problems for functional-differential equations (34K10) Traveling wave solutions (35C07)
Related Items (7)
Cites Work
- Monotone waves for non-monotone and non-local monostable reaction-diffusion equations
- On uniqueness of semi-wavefronts
- Slowly oscillating wavefronts of the KPP-Fisher delayed equation
- Monotone traveling wavefronts of the KPP-Fisher delayed equation
- On uniqueness and monotonicity of solutions of non-local reaction diffusion equation
- Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays
- Nonlocal anisotropic dispersal with monostable nonlinearity
- Traveling fronts in monostable equations with nonlocal delayed effects
- Existence and uniqueness of traveling waves for non-monotone integral equations with applications
- Existence and nonexistence of monotone traveling waves for the delayed Fisher equation
- The Fredholm alternative for functional-differential equations of mixed type
- Introduction to functional differential equations
- Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
- Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
- Pushed traveling fronts in monostable equations with monotone delayed reaction
- Separation dichotomy and wavefronts for a nonlinear convolution equation
- Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation
- Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
- Traveling waves in the nonlocal KPP-Fisher equation: different roles of the right and the left interactions
- Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model
- Asymptotic Behavior, Spreading Speeds, and Traveling Waves of Nonmonotone Dynamical Systems
- Monotone wavefronts of the nonlocal Fisher–KPP equation
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- The non-local Fisher–KPP equation: travelling waves and steady states
- Travelling-front solutions for integro-differential equations. I.
- On the bounded solutions of a nonlinear convolution equation
- Uniqueness of travelling waves for nonlocal monostable equations
- An extension of Wright’s 3/2-theorem for the KPP-Fisher delayed equation
- An iterative estimation for disturbances of semi-wavefronts to the delayed Fisher-KPP equation
- Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities
- Global continuation of monotone wavefronts
- Traveling wave fronts of reaction-diffusion systems with delay
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