Vitaly Volpert, Vitali Vougalter
Existence of stationary pulses for nonlocal reaction-diffusion equations
(108K, pdf)

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.