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