
 Institute of Mathematics of National Academy of Sciences of Armenia (Site not responding. Last check: 20071008) 
  The paper studies the integral equation $f(x,y)=g(x,y)+\iint\limits_GK(xx',yy')f(x',y')\;dx'\;dy',$ where $G$ is an unbounded domain in $\R^2$, the kernel $K$ is nonnegative function satisfying the conservativity condition. 
  We consider renewal equation $f(x)=g(x)+\int_0^x V(xt)f(t)dt,$ where the kernel $V$ is completely monotone function and prove that if $g\in L_1(0,\y)$ is a completely monotone function of the form $g(x)=\int_a^b e^{xs}G(s)d\si(s),$ and $G\ge 0$ is a continuous increasing function on $[a,b)$, then the solution is also completely monotone. 
  For convolutiontype integral equations on finite intervals with completely monotone kernels a method for construction of approximate solution is proposed. 
 math.sci.am /Journal/1997_1.html (464 words) 
