12-50 Vitaly Volpert, Vitali Vougalter

On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations (198K, pdf) May 9, 12

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Abstract. We prove the existence of stationary solutions for certain systems of reaction-diffusion type equations in the corresponding H^2 spaces. Our method relies on the fixed point theorem when the elliptic problem involves second order differential operators with and without Fredholm property.

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