Solution to the solvability problem for a class of product-type systems of difference equations
Abstract Solution to the solvability problem for a class of product-type systems of difference equations is given by presenting explicit formulas for its solutions. In the main/most complicated cases the problem is solved by using two different methods. This is the last system, out of the three non-...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1204-4 |
| _version_ | 1828380894560256000 |
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| author | Stevo Stević |
| author_facet | Stevo Stević |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | Abstract Solution to the solvability problem for a class of product-type systems of difference equations is given by presenting explicit formulas for its solutions. In the main/most complicated cases the problem is solved by using two different methods. This is the last system, out of the three non-equivalent ones, for which an associated polynomial, which essentially determines the structure of the solutions, is of the third order, so that the paper finishes the study of this kind of two-dimensional systems. |
| first_indexed | 2024-12-10T04:06:11Z |
| format | Article |
| id | doaj.art-94d2569ce02749a5a6fdfef0407a7f44 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T04:06:11Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-94d2569ce02749a5a6fdfef0407a7f442022-12-22T02:02:51ZengSpringerOpenAdvances in Difference Equations1687-18472017-05-012017112410.1186/s13662-017-1204-4Solution to the solvability problem for a class of product-type systems of difference equationsStevo Stević0Mathematical Institute, Serbian Academy of SciencesAbstract Solution to the solvability problem for a class of product-type systems of difference equations is given by presenting explicit formulas for its solutions. In the main/most complicated cases the problem is solved by using two different methods. This is the last system, out of the three non-equivalent ones, for which an associated polynomial, which essentially determines the structure of the solutions, is of the third order, so that the paper finishes the study of this kind of two-dimensional systems.http://link.springer.com/article/10.1186/s13662-017-1204-4solvability problemsystem of difference equationsproduct-type systemsolutions in closed form |
| spellingShingle | Stevo Stević Solution to the solvability problem for a class of product-type systems of difference equations Advances in Difference Equations solvability problem system of difference equations product-type system solutions in closed form |
| title | Solution to the solvability problem for a class of product-type systems of difference equations |
| title_full | Solution to the solvability problem for a class of product-type systems of difference equations |
| title_fullStr | Solution to the solvability problem for a class of product-type systems of difference equations |
| title_full_unstemmed | Solution to the solvability problem for a class of product-type systems of difference equations |
| title_short | Solution to the solvability problem for a class of product-type systems of difference equations |
| title_sort | solution to the solvability problem for a class of product type systems of difference equations |
| topic | solvability problem system of difference equations product-type system solutions in closed form |
| url | http://link.springer.com/article/10.1186/s13662-017-1204-4 |
| work_keys_str_mv | AT stevostevic solutiontothesolvabilityproblemforaclassofproducttypesystemsofdifferenceequations |