Existence of stationary solutions for some systems of integro-differential equations with superdiffusion - Archive ouverte HAL
Article Dans Une Revue Rocky Mountain Journal of Mathematics Année : 2017

Existence of stationary solutions for some systems of integro-differential equations with superdiffusion

Résumé

In this 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 the existence of solutions is based on a fixed point technique. Solvability conditions for elliptic operators without the Fredholm property in unbounded domains are used.
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Dates et versions

hal-01564763 , version 1 (22-07-2017)

Identifiants

Citer

Vitali Vougalter, Vitaly Volpert. Existence of stationary solutions for some systems of integro-differential equations with superdiffusion. Rocky Mountain Journal of Mathematics, 2017, 47 (3), pp.955-970. ⟨10.1216/RMJ-2017-47-3-955⟩. ⟨hal-01564763⟩
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