Asymptotic Stability of Differential Equations with Infinite Delay
A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/804509 |
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| author | D. Piriadarshani T. Sengadir |
| author_facet | D. Piriadarshani T. Sengadir |
| author_sort | D. Piriadarshani |
| collection | DOAJ |
| description | A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation. |
| format | Article |
| id | doaj-art-f7005d22e4024411ba69191bf0b345ac |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f7005d22e4024411ba69191bf0b345ac2025-02-03T01:30:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/804509804509Asymptotic Stability of Differential Equations with Infinite DelayD. Piriadarshani0T. Sengadir1Department of Mathematics, Hindustan Institute of Technology and Science, Rajiv Gandhi Salai, Kelambakkam, Chennai 603 103, IndiaDepartment of Mathematics, Central University of Tamil Nadu, Thiruvarur 610 004, IndiaA theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.http://dx.doi.org/10.1155/2012/804509 |
| spellingShingle | D. Piriadarshani T. Sengadir Asymptotic Stability of Differential Equations with Infinite Delay Journal of Applied Mathematics |
| title | Asymptotic Stability of Differential Equations with Infinite Delay |
| title_full | Asymptotic Stability of Differential Equations with Infinite Delay |
| title_fullStr | Asymptotic Stability of Differential Equations with Infinite Delay |
| title_full_unstemmed | Asymptotic Stability of Differential Equations with Infinite Delay |
| title_short | Asymptotic Stability of Differential Equations with Infinite Delay |
| title_sort | asymptotic stability of differential equations with infinite delay |
| url | http://dx.doi.org/10.1155/2012/804509 |
| work_keys_str_mv | AT dpiriadarshani asymptoticstabilityofdifferentialequationswithinfinitedelay AT tsengadir asymptoticstabilityofdifferentialequationswithinfinitedelay |