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    Difference equation with non-linear term

    Hi all-- I can't figure out how to approach the following difference equation: ax_{t}+f(x_{t-1})+bx_{t-2}=e_{t} where a, b are constants, e_t is a known function and f(x_t-1) is a convex, u-shaped function that goes through the origin. (Sorry Tex would not want to work) To begin with, I...
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