Interval-analytical inclusions
    for the fixed point of a Volterra integral operator

                     Oleg B.Ermakov
   Department of Mathematics, Saratov State University
     Astrakhanskaya str. 83, Saratov, 410026, Russia
           E-mail: zyuzin@scnit.saratov.su

   A Volterra integral operator in a closed subset of  interval
functions  with  Hausdorff  metric  is  considered.  Sufficient
conditions for the existence unique fixed point of the Volterra
integral operator and for the convergence by metric of sequence
interval inclusions to the solution  of  operator  equation  is
obtained. A way for the choice  of  the  beginning  element  is
proposed, which satisfy to principle of compression in a metric
space.

   Reference

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[2] Collatz,L.: Funktionalanalysis und  numerische  mathematik.
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[3] Krasnoselsky,M.A., Vaynikko,G.M.: Approximate  solution  of
    the operator equations. Moscow 1969
[4] Walter,W.: Gewoehnliche Differentialgleichungen,  Springer-
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