Boundedness of solutions of matrix nonlinear volterra difference equations
Nonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators. The conditions are formulated in the terms of coefficients of considered equa...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1080/10260220290013471 |
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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 | Nonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators. The conditions are formulated in the terms of coefficients of considered equations. In addition, estimates for the c0- and l2-norms of solutions are derived. |
| format | Article |
| id | doaj-art-eec6a6687b1a42099cc2d51597e87b03 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-eec6a6687b1a42099cc2d51597e87b032025-02-03T01:11:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2002-01-0171192210.1080/10260220290013471Boundedness of solutions of matrix nonlinear volterra difference equationsMichael I. Gil'0Rigoberto Medina1Department of Mathematics, Ben Gurion University of the Negev, PO. Box 653, Beer-Sheva 84105, IsraelDepartmento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, ChileNonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators. The conditions are formulated in the terms of coefficients of considered equations. In addition, estimates for the c0- and l2-norms of solutions are derived.http://dx.doi.org/10.1080/10260220290013471Volterra difference equations; Boundedness; Estimates for solutions; Matrix. |
| spellingShingle | Michael I. Gil' Rigoberto Medina Boundedness of solutions of matrix nonlinear volterra difference equations Discrete Dynamics in Nature and Society Volterra difference equations; Boundedness; Estimates for solutions; Matrix. |
| title | Boundedness of solutions of matrix nonlinear volterra difference equations |
| title_full | Boundedness of solutions of matrix nonlinear volterra difference equations |
| title_fullStr | Boundedness of solutions of matrix nonlinear volterra difference equations |
| title_full_unstemmed | Boundedness of solutions of matrix nonlinear volterra difference equations |
| title_short | Boundedness of solutions of matrix nonlinear volterra difference equations |
| title_sort | boundedness of solutions of matrix nonlinear volterra difference equations |
| topic | Volterra difference equations; Boundedness; Estimates for solutions; Matrix. |
| url | http://dx.doi.org/10.1080/10260220290013471 |
| work_keys_str_mv | AT michaeligil boundednessofsolutionsofmatrixnonlinearvolterradifferenceequations AT rigobertomedina boundednessofsolutionsofmatrixnonlinearvolterradifferenceequations |