The main objective of this work, we propose an approximate method
to construct approximate solution of mixed additive hammerestein
nonlinear volterra integral equations in the space Lp (p ~ 1). Using
the linear polynomial operators, we replace the given equation by a
nonlinear integral equation Hammerstein type with degenerate kernel,
and taking the solution of it as an approximate solution to the given
equation . the problem of solving the new equation is equivalent to
that of solving a systam of nonlinear algebraic equations .