Vitali Vougalter, Vitaly Volpert
On the existence of stationary solutions for some systems of non-Fredholm 
integro-differential equations with superdiffusion
(210K, pdf)

ABSTRACT.  We establish the existence of stationary solutions for certain systems of reaction-diffusion equations with superdiffusion. The corresponding 
elliptic problem involves the operators with or without Fredholm property. The fixed point technique in appropriate H^2 spaces of vector 
functions is employed.