DYNAMICS OF A CLASS OF ODES VIA WAVELETS

被引：1
|
作者：
Rodrigues, Hildebrando M. [1 ]
Caraballo, Tomas [2 ]
Gameiro, Marcio [1 ]
机构：
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, Fac Matemat, Tarfia S-N, E-41012 Seville, Spain
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 06期
基金：
巴西圣保罗研究基金会;
关键词：
EQUATION;
D O I：
10.3934/cpaa.2017115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 L-2 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.
引用
收藏
页码：2337 / 2355
页数：19
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