Difference equations : Linear difference equations with non-constant coefficients

Linear difference equations with non-constant coefficients
Difference equations

Authors : Guoting CHEN, Jean DELLA DORA

Publication date: October 10, 2007 | Lire en français

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3. Linear difference equations with non-constant coefficients

These are equations associated with an operator L = a ₀ τ ^r + ... + a _r , but, now, the a _i are functions of n. Therefore, for any integer n :

a_{0} (n) f (r + n) + \dots + a_{r} (n) f (n) = g (n)

...

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Linear difference equations with non-constant coefficients

(1) - ABRAMOV (S.A.), PETKOVSEK (M.) - D'Alembertian solutions of nonhomogeneous linear ordinary differential and difference equations. - Manuscrit (1994).
(2) - ADAMS (C.R.) - On the irregular cases of linear ordinary difference equations....

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