14-64 Vitaly Volpert, Vitali Vougalter

Existence of stationary pulses for nonlocal reaction-diffusion equations (108K, pdf) Aug 23, 14

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Abstract. A nonlocal reaction-diffusion equation and a system of equations from population dynamics are considered on the whole axis. Existence of solutions in the form of stationary pulses is proved by a perturbation method. It is based on spectral properties of the linearized operators and on the implicit function theorem.

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