Nonlinear Volterra difference equations in space lp
We consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/S1026022604312021 |
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| _version_ | 1832545883381563392 |
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| author | Michael I. Gil' Rigoberto Medina |
| author_facet | Michael I. Gil' Rigoberto Medina |
| author_sort | Michael I. Gil' |
| collection | DOAJ |
| description | We consider a class of vector nonlinear discrete-time Volterra
equations in space lp and derive estimates for the norms of
solutions. These estimates give us explicit stability conditions,
which allow us to avoid finding Lyapunov functionals. |
| format | Article |
| id | doaj-art-d7cc9cbb5bce489f9f406ab8d8c8a16f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d7cc9cbb5bce489f9f406ab8d8c8a16f2025-02-03T07:24:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2004-01-012004230130610.1155/S1026022604312021Nonlinear Volterra difference equations in space lpMichael I. Gil'0Rigoberto Medina1Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, IsraelDepartamento de Ciencias Exactas, Universidad de Los Lagos, Osorno Casilla 933, ChileWe consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.http://dx.doi.org/10.1155/S1026022604312021 |
| spellingShingle | Michael I. Gil' Rigoberto Medina Nonlinear Volterra difference equations in space lp Discrete Dynamics in Nature and Society |
| title | Nonlinear Volterra difference equations in space lp |
| title_full | Nonlinear Volterra difference equations in space lp |
| title_fullStr | Nonlinear Volterra difference equations in space lp |
| title_full_unstemmed | Nonlinear Volterra difference equations in space lp |
| title_short | Nonlinear Volterra difference equations in space lp |
| title_sort | nonlinear volterra difference equations in space lp |
| url | http://dx.doi.org/10.1155/S1026022604312021 |
| work_keys_str_mv | AT michaeligil nonlinearvolterradifferenceequationsinspacelp AT rigobertomedina nonlinearvolterradifferenceequationsinspacelp |