Approximate solutions for some non-linear Volterra integral equations
Approximate solutions for some non-linear Volterra integral equations
In this short note we give generalized e-approximate solutions x(t , ,) of the following non-linear integral equations of Volterra-type (P)x(t) f (t) + s, x(s))ds.Under very general assumptions on f(t) and g(t, s, x) similar to the Carathodory-type, R. K. Miller and G. R. Sell [1] proved the local …