Abstract
Sufficient conditions are given so that the initial value problem
for the Shabat equation has a unique analytic solution, which,
together with its first derivative, converges absolutely for z∈ℂ:|z|<T, T>0. Moreover, a bound of this solution
is given. The sufficient conditions involve only the initial
condition, the parameters of the equation, and T. Furthermore,
from these conditions, one can obtain an upper bound for T. Our
results are in consistence with some recently found results.