Stevo Stevic
Abstract:
In this article we consider the two-dimensional boundary-value problem
where
,
,
and
,
,
are complex sequences. Employing recently introduced method of half-lines,
it is shown that the boundary-value problem is solvable,
by finding an explicit formula for its solution on the domain,
the, so called, combinatorial domain. The problem is solved
for each complex sequence
,
,
that is, even
if some of its members are equal to zero.
The main result here extends a recent result in the topic.
Submitted October 23, 2016. Published January 14, 2017.
Math Subject Classifications: 39A14, 39A06.
Key Words: Partial difference equation; solvable difference equation;
method of half-lines; combinatorial domain.
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Stevo Stevic Mathematical Institute of the Serbian Academy of Sciences Knez Mihailova 36/III, 11000 Beograd, Serbia email: sstevic@ptt.rs |
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