SYSTEMS OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS

摘要

In this paper, we consider a system of nonlinear Volterra integral equations of the form X(t) = A(t)-∫C(t,s)g(X(s))ds and we o show that if A? L~p then its splution X(t)? L~p and if A'? L~p then g(X(t))? L~p.