Vitali Vougalter, Vitaly Volpert On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations with the bi-Laplacian (207K, pdf) ABSTRACT. We establish the existence of stationary solutions for some systems of reaction-diffusion type equations in the appropriate H^4 spaces via the fixed point technique when the system of elliptic equations contains fourth order differential operators with and without Fredholm property, generalizing the results of our preceding work [22].