Accurate solution estimates for vector difference equations
Accurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attraction of the stationary solution. Our approach is based on estimates for the powers of a constant matrix. We also discuss applications of...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120321022X |
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| _version_ | 1832565637140971520 |
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| author | Rigoberto Medina |
| author_facet | Rigoberto Medina |
| author_sort | Rigoberto Medina |
| collection | DOAJ |
| description | Accurate estimates for the norms of the solutions of a
vector difference equation are derived. They give us
stability conditions and bounds for the region of
attraction of the stationary solution. Our approach
is based on estimates for the powers of a constant matrix.
We also discuss applications of our main results to
partial reaction-diffusion difference equations and to a
Volterra difference equation. |
| format | Article |
| id | doaj-art-398bc329fe0042589c6b0a277f5b975f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-398bc329fe0042589c6b0a277f5b975f2025-02-03T01:07:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003483059306610.1155/S016117120321022XAccurate solution estimates for vector difference equationsRigoberto Medina0Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, ChileAccurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attraction of the stationary solution. Our approach is based on estimates for the powers of a constant matrix. We also discuss applications of our main results to partial reaction-diffusion difference equations and to a Volterra difference equation.http://dx.doi.org/10.1155/S016117120321022X |
| spellingShingle | Rigoberto Medina Accurate solution estimates for vector difference equations International Journal of Mathematics and Mathematical Sciences |
| title | Accurate solution estimates for vector difference equations |
| title_full | Accurate solution estimates for vector difference equations |
| title_fullStr | Accurate solution estimates for vector difference equations |
| title_full_unstemmed | Accurate solution estimates for vector difference equations |
| title_short | Accurate solution estimates for vector difference equations |
| title_sort | accurate solution estimates for vector difference equations |
| url | http://dx.doi.org/10.1155/S016117120321022X |
| work_keys_str_mv | AT rigobertomedina accuratesolutionestimatesforvectordifferenceequations |