Vitali Vougalter, Vitaly Volpert Existence of stationary solutions for some non-Fredholm integro-differential equations with superdiffusion (248K, pdf) ABSTRACT. We prove the existence of stationary solutions for some reaction-diffusion equations with superdiffusion. The corresponding elliptic problem contains the operators with or without Fredholm property. The fixed point technique in appropriate H^2 spaces is employed.