Anna Andruch-Sobiło,
Andrzej Drozdowicz
(2008)
In the paper we consider the difference equation of neutral type
where ; , is strictly increasing and
is nondecreasing and , , . We examine the following two cases:
and
where , are positive integers. We obtain sufficient conditions under which all nonoscillatory solutions of the above equation tend to zero as with a weaker assumption on than the usual assumption that is used in literature.