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Difference equations, including linear and nonlinear equations, discrete version of topics in analysis, partial difference equations, oscillation theory, periodic solutions, almost periodic solutions, bifurcation theory, stability theory.
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General solution for first-order difference equation
I have the following first-order difference equation
$$y_{t} = \frac{x_{t}}{1-\rho L} + \epsilon_{t}$$
where $L$ denotes the backshift operator, i.e., $L(x_{t}) = x_{t-1}$. I can obtain a solution …