Vitali Vougalter, Vitaly Volpert
On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations with the bi-Laplacian
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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].