Solvability of boundary-value problems for a linear partial difference equation
| dc.contributor.author | Stevic, Stevo | |
| dc.date.accessioned | 2022-03-16T21:32:53Z | |
| dc.date.available | 2022-03-16T21:32:53Z | |
| dc.date.issued | 2017-01-14 | |
| dc.description.abstract | In this article we consider the two-dimensional boundary-value problem dm,n = dm-1,n + ƒn dm-1,n-1, 1 ≤ n < m, dm,0 = αm, d m,m = b m, m ∈ ℕ, where αm, bm, m ∈ ℕ and ƒn, n ∈ ℕ, 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 ƒn, n ∈ ℕ, that is, even if some of its members are equal to zero. The main result here extends a recent result in the topic. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Stevic, S. (2017). Solvability of boundary-value problems for a linear partial difference equation. Electronic Journal of Differential Equations, 2017(17), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15522 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Partial difference equation | |
| dc.subject | Solvable difference equation | |
| dc.subject | Method of half-lines | |
| dc.subject | Combinatorial domain | |
| dc.title | Solvability of boundary-value problems for a linear partial difference equation | |
| dc.type | Article |