Article
Dynamics of a class of ODEs via wavelets
Author/s | Munhoz Rodrigues, Hildebrando
Caraballo Garrido, Tomás Fuzeto Gameiro, Marcio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017-11 |
Deposit Date | 2017-12-11 |
Published in |
|
Abstract | The objective of this paper is to study a perturbed linear hyperbolic
differential equation. The first part of this work is dedicated to study
perturbation of the equilibrium (special solution) of a perturbed hyperbolic
system. ... The objective of this paper is to study a perturbed linear hyperbolic differential equation. The first part of this work is dedicated to study perturbation of the equilibrium (special solution) of a perturbed hyperbolic system. On the second part we analyze the stable and the unstable manifolds of a perturbed semilinear differential equation. We assume that the perturbed forcing function belongs to an L2 class and that it is developed in a series of wavelets. Then we analyze the effect of this development on the special solution of the perturbed equation. Similar study is provided for the stable and unstable manifolds of this special solutions. |
Project ID. | MTM2015-63723-P
P12-FQM-1492 2013/07460-7 2016/08704-5 305860/2013-5 |
Citation | Munhoz Rodrigues, H., Caraballo Garrido, T. y Fuzeto Gameiro, M. (2017). Dynamics of a class of ODEs via wavelets. Communications on Pure and Applied Analysis, 16 (6), 2337-2355. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Dynamics of a class of ODEs via ... | 307.8Kb | [PDF] | View/ | |