On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space
An equation of the form y−A(t)y=f(t) is considered, where Δy=y(t+δ)−y(t)δ, and the necessary and sufficient criteria for the exponential growth of the solution of this equation is obtained.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000424 |
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| _version_ | 1832558866097766400 |
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| author | H. Attia Hussein |
| author_facet | H. Attia Hussein |
| author_sort | H. Attia Hussein |
| collection | DOAJ |
| description | An equation of the form y−A(t)y=f(t) is considered, where Δy=y(t+δ)−y(t)δ, and the necessary and sufficient criteria for the exponential growth of the solution of this equation is obtained. |
| format | Article |
| id | doaj-art-6d3d89ce98264c49878f144cc64cc4be |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6d3d89ce98264c49878f144cc64cc4be2025-02-03T01:31:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018240340610.1155/S0161171285000424On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach spaceH. Attia Hussein0Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, EgyptAn equation of the form y−A(t)y=f(t) is considered, where Δy=y(t+δ)−y(t)δ, and the necessary and sufficient criteria for the exponential growth of the solution of this equation is obtained.http://dx.doi.org/10.1155/S0161171285000424difference equationssolution of exponential growth. |
| spellingShingle | H. Attia Hussein On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space International Journal of Mathematics and Mathematical Sciences difference equations solution of exponential growth. |
| title | On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space |
| title_full | On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space |
| title_fullStr | On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space |
| title_full_unstemmed | On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space |
| title_short | On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space |
| title_sort | on the order of exponential growth of the solution of the linear difference equation with periodic coefficient in banach space |
| topic | difference equations solution of exponential growth. |
| url | http://dx.doi.org/10.1155/S0161171285000424 |
| work_keys_str_mv | AT hattiahussein ontheorderofexponentialgrowthofthesolutionofthelineardifferenceequationwithperiodiccoefficientinbanachspace |