|Register to reply||
Difference equation with non-linear term
|Share this thread:|
Apr27-09, 08:09 AM
I can't figure out how to approach the following difference equation:
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 considered f linear and solved the equation. Exactly one of the roots of the corresponding homogenous equation lies within the unit circle, so I set the free coefficients in the general solution to zero to obtain a bounded solution and derive the particular solution.
Does anyone know a way to treat a nonlinear function f?
|Register to reply|
|Graphing an Equation with a Complex Term||Calculus & Beyond Homework||13|
|Linear Algebra - Linear Constant Coefficient Difference Equations||Calculus & Beyond Homework||3|
|The difference between linear and non linear differential equation||Differential Equations||2|
|Mass term in wave equation||Differential Equations||19|
|Nth term of an unknown equation||Calculus||4|