Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 1991. (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 20)

Kristyna Grytczuk: Functional récurrences and differential équations

- 3d L(

so. k'

ul) = 0 ror k=

2" and the proof is complete. From Theorem B we get the following. COROLLARY. Let the assumption of theorem B be satisfied and let s = s =...=s =1. O, 1 O, 2 O, N If the functions u

1, • «

r are linearly independent over R then the general solution of the differential equation C2) is of the form y = c u* + c U

X + 7 11 2 2 where c

„,c 1 ' 2 c are arbitrary constans REFERENCE [1] A. Grytczuk and K. Grytczuk, Functional recurrences, Proceedings of the Pisa Conference C1988>, to appear.