On the Existence of Stationary Solutions for Some Non-Fredholm Integro-Differential Equations

We show the existence of stationary solutions for some reaction-diffusion type equations in the appropriate $H^2$ spaces using the fixed point technique when the elliptic problem contains second order differential operators with and without Fredholm property.

2010 Mathematics Subject Classification: 35J10, 35P30, 35K57

Keywords and Phrases: solvability conditions, non Fredholm operators, integro-differential equations, stationary solutions

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