** Lothar Berg**

**Oscillating Solutions of Rational Difference Equations**

**The paper is published:**
Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. [58], [31]-[35]([2004])

**MSC:**- 39A10 Difference equations, See also {33Dxx}
- 39A11 Stability of difference equations

**Abstract:** For a special rational difference equation of order two

oscillating series solution are constructed.

An example is given where Bessel functions

arise as coefficients.

**Keywords:** *Rational difference equation, oscillating solutions, periodic solutions, Bessel functions*