Messoud Efendiev, Vitali Vougalter
Solvability of some integro-differential equations with drift
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ABSTRACT.  We prove the existence in the sense of sequences of solutions 
for some integro-differential type equations involving the drift term 
in the appropriate $H^2$ spaces using the fixed point technique 
when the elliptic problems contain second order differential operators 
with and without Fredholm property. 
It is shown that, under the reasonable technical conditions, 
the convergence in $L^1$ of the integral kernels yields the existence 
and convergence in $H^2$ of solutions.