A stability theory for perturbed differential equations
The problem of determining the behavior of the solutions of a perturbed differential equation with respect to the solutions of the original unperturbed differential equation is studied. The general differential equation considered is X′=f(t,X) and the associated perturbed differential equation is...
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| Format: | Article |
| Language: | English |
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Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000259 |
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| _version_ | 1832558639743762432 |
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| author | Sheldon P. Gordon |
| author_facet | Sheldon P. Gordon |
| author_sort | Sheldon P. Gordon |
| collection | DOAJ |
| description | The problem of determining the behavior of the solutions of a perturbed
differential equation with respect to the solutions of the original unperturbed differential equation is studied. The general differential equation considered is
X′=f(t,X) and the associated perturbed differential equation is
Y′=f(t,Y)+g(t,Y). |
| format | Article |
| id | doaj-art-23230770006a4962bd05ccacdd0d0a38 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-23230770006a4962bd05ccacdd0d0a382025-02-03T01:31:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012228329710.1155/S0161171279000259A stability theory for perturbed differential equationsSheldon P. Gordon0Department of Mathematics, Suffolk Community College, Selden, New York 11784, USAThe problem of determining the behavior of the solutions of a perturbed differential equation with respect to the solutions of the original unperturbed differential equation is studied. The general differential equation considered is X′=f(t,X) and the associated perturbed differential equation is Y′=f(t,Y)+g(t,Y).http://dx.doi.org/10.1155/S0161171279000259Liapunov functionsasymptotic behavior of solutionsasymptotic equivalence. |
| spellingShingle | Sheldon P. Gordon A stability theory for perturbed differential equations International Journal of Mathematics and Mathematical Sciences Liapunov functions asymptotic behavior of solutions asymptotic equivalence. |
| title | A stability theory for perturbed differential equations |
| title_full | A stability theory for perturbed differential equations |
| title_fullStr | A stability theory for perturbed differential equations |
| title_full_unstemmed | A stability theory for perturbed differential equations |
| title_short | A stability theory for perturbed differential equations |
| title_sort | stability theory for perturbed differential equations |
| topic | Liapunov functions asymptotic behavior of solutions asymptotic equivalence. |
| url | http://dx.doi.org/10.1155/S0161171279000259 |
| work_keys_str_mv | AT sheldonpgordon astabilitytheoryforperturbeddifferentialequations AT sheldonpgordon stabilitytheoryforperturbeddifferentialequations |