Hyperpolynomial approximation of solutions of nonlinear integro-differential equations
Hyperpolynomial approximation of solutions of nonlinear integro-differential equations
Consider the integro-differential equation (*) U(x) = x' + A(t, x) + ίV(ί, s, x(s))ds = T(t), t e [a, b] subject to the initial condition (**) x(a) = h .Then a problem in approximation theory is whether a solution x(t) of ((*), (**)) can be approximated, uniformly on [a, …