Document Zbl 1278.39002

Convergence in homogeneous difference equations of degree 1. (English) Zbl 1278.39002

J. Difference Equ. Appl. 19, No. 1, 13-26 (2013).

The author obtains some new convergence results for some classes of additive and multiplicative homogeneous difference equations of degree 1. A reduction in order is considered. For multiplicative homogeneous equations, he derives monotone and oscillatory solutions. For additive homogeneous difference equations the convergence of the solution is studied.

Reviewer: Narcisa C. Apreutesei (Iaşi)

Cited in 3 Documents

MSC:

39A10	Additive difference equations
39A21	Oscillation theory for difference equations
39A23	Periodic solutions of difference equations

Keywords:

additive; multiplicative; monotonic; non-monotonic; period-2; homogeneous difference equations; reduction in order; oscillatory solution; convergence

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Full Text: DOI

References:

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