On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Discontinuity, Nonlinearity, and Complexity Année : 2012

On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations.

Résumé

We prove the existence of stationary solutions for certain systems of reactiondiffusion type equations in the corresponding H2 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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Dates et versions

hal-00753090 , version 1 (17-11-2012)

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  • HAL Id : hal-00753090 , version 1

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Vitaly Volpert, Vitali Vougalter. On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations.. Discontinuity, Nonlinearity, and Complexity, 2012, 1 (2), pp.197-209. ⟨hal-00753090⟩
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