15-35 Vitali Vougalter, Vitaly Volpert

Existence of stationary solutions for some systems of integro-differential equations with superdiffusion (273K, pdf) Apr 11, 15

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Abstract. In the article we establish the existence of solutions of a system of integro-differential equations arising in population dynamics in the case of anomalous diffusion. The proof of existence of solutions is based on a fixed point technique. Solvability conditions for elliptic operators without Fredholm property in unbounded domains are being used.

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