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Factorizations and Reductions of Order in Quadratic and other Non-recursive Higher Order Difference Equations
non-recursive form symmetry factorization semi-invertible map criterion
2010/12/28
A higher order difference equation may be generally defined in an arbitrary nonempty set S as:
fn(xn, xn−1, . . . , xn−k) = gn(xn, xn−1, . . . , xn−k)where fn, gn: Sk+1→ S are...
Positive trigonometric polynomials for strong stability of difference equations
trigonometric polynomials strong stability difference equations
2010/11/11
We follow a polynomial approach to analyse strong stability of linear difference equations with rationally independent delays. Upon application of the Hermite stability criterion on the discrete-time ...
Galois theory of difference equations with periodic parameters
Difference Galois theory q-difference equations Jacobi’s thetafunction sequences
2010/11/30
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups.We then apply this to constructively test...