ON THE COMPLETE SOLUTION OF EPSILON-Y('')=Y(3)

In Ref. 1, the author claimed that the problem epsilony'' = y3 is solu ble only for a certain range of the parameter epsilon. An analytic app roach, as adopted in the following contribution, reveals that a unique solution exists for any positive value Of epsilon. The solution is gi ven in closed form by means of Jacobian elliptic functions, which can be numerically computed very efficiently. In the limit epsilon --> 0+, the solutions exhibit boundary-layer behavior at both endpoints. An e asily interpretable approximate solution for small epsilon is obtained using a three-variable approach.