17-64 Vitali Vougalter

On the existence in the sense of sequences of stationary solutions for some systems of non-Fredholm integro-differential equations (221K, pdf) May 18, 17

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Abstract. We prove the existence in the sense of sequences of stationary solutions for some systems of reaction-diffusion type equations in the appropriate H^2 spaces. It is established that under reasonable technical conditions the convergence in L^1 of the integral kernels yields the existence and the convergence in H^2 of the solutions. The nonlocal elliptic problems contain second order differential operators with and without Fredholm property.

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