Fruchter, Gila E.; Kalish, Shlomo - In: Management Science 43 (1997) 1, pp. 54-63
Using the Lanchester model to describe the dynamics of the market where two firms compete for customers by advertising …, we solve the problem of determining an optimal advertising strategy for maximum discounted profits. We develop both open … a backward differential equation and a set of two nonlinear differential equations for an initial value problem. The …