JournalsdmVol. 16pp. 561–580

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

  • Vitali Vougalter

    University of Cape Town, Rondebosch, South Africa

  • Vitaly Volpert

    Université Lyon 1, France
On the existence of stationary solutions for some non-Fredholm integro-differential equations cover
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Abstract

We show the existence of stationary solutions for some reaction-diffusion type equations in the appropriate spaces using the fixed point technique when the elliptic problem contains second order differential operators with and without Fredholm property.

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Vitali Vougalter, Vitaly Volpert, On the existence of stationary solutions for some non-Fredholm integro-differential equations. Doc. Math. 16 (2011), pp. 561–580

DOI 10.4171/DM/342