Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (5): 619-626.
• Articles • Previous Articles Next Articles
LIN Mu-Ren
Online:
Published:
Supported by:
福建省教育厅科技基金项目资助(JB02085；JA02148)
Abstract:
In this paper, the authors provide a sufficient condition for the generalized exponential dichotomy of a linear system (dx/dt)]=A(t)x. As an application, the authors study the existence of bounded solut ions of a nonlinear perturbed equation. The results generalize those given in ［1］ and ［2］.
Key words: Exponential dichotomy, Generalized exponential di chotomy, Contraction mapping, Bounded solution
CLC Number:
LIN Mu-Ren. A Criterion for Generalized Exponential Dichotomy and Existence of Bounded Solution[J].Acta mathematica scientia,Series A, 2003, 23(5): 619-626.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2003/V23/I5/619
[1]Coppel W A. Dichotomies in Stability Theory. Berlin: SpringerVerlag, 1978 [2]He Chongyou. Existence of almost periodic solutions of perturbation systems. Ann of Diff Eqs, 1993，9(2)：173-181 [3]林振声. 拟线性系统概周期解的存在性. 数学学报， 1979，22(5)：515-528 [4]Martin J R H. Condition stability and separation of solution of dif ferential equations. J Differential Equations, 1973，13：81-105
Cited
Stability of Periodic Solution for a Discrete Leslie
Predator-prey System
An Inexact Alternating Direction Method for Solving a Class of Monotone Variational Inequalities