Abstract
The Vidale-Wolfe advertising model is a singular optimal control problem with a non negative control. Sufficient conditions on a generalized time-varying market, for which a solution can be found, are given. Time is parametrized to describe impulsive optimal trajectories in a conventional manner. The solution is then found and verified by using the Hamilton-Jacobi-Bellman equation on the parametrized problem. © 1997 John Wiley & Sons, Ltd.
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