New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces
We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/5098086 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566744193957888 |
|---|---|
| author | Rigoberto Medina |
| author_facet | Rigoberto Medina |
| author_sort | Rigoberto Medina |
| collection | DOAJ |
| description | We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. The main methodology is based on a combined use of new norm estimates for operator-valued functions with the “freezing” method. |
| format | Article |
| id | doaj-art-2d22115d4080492fb9bda9659f11631a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2d22115d4080492fb9bda9659f11631a2025-02-03T01:03:14ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/50980865098086New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach SpacesRigoberto Medina0Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, 5290000 Osorno, ChileWe study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. The main methodology is based on a combined use of new norm estimates for operator-valued functions with the “freezing” method.http://dx.doi.org/10.1155/2016/5098086 |
| spellingShingle | Rigoberto Medina New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces Abstract and Applied Analysis |
| title | New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces |
| title_full | New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces |
| title_fullStr | New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces |
| title_full_unstemmed | New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces |
| title_short | New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces |
| title_sort | new conditions for the exponential stability of pseudolinear difference equations in banach spaces |
| url | http://dx.doi.org/10.1155/2016/5098086 |
| work_keys_str_mv | AT rigobertomedina newconditionsfortheexponentialstabilityofpseudolineardifferenceequationsinbanachspaces |