CONTINGENT SOLUTIONS TO THE CENTER MANIFOLD EQUATION

被引:9
作者
AUBIN, JP [1 ]
DAPRATO, G [1 ]
机构
[1] SCUOLA NORMALE SUPER PISA,I-56126 PISA,ITALY
来源
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1992年 / 9卷 / 01期
关键词
D O I
10.1016/S0294-1449(16)30248-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Given a system of ordinary differential equations with lipschitizian right-hand sides, we state an existence and uniqueness theorem for a "contingent solution" of the first-order system of partial differential equations characterizing center manifolds, as well as the convergence of the viscosity method.
引用
收藏
页码:13 / 28
页数:16
相关论文
共 19 条
[1]  
Aubin J. P., 1991, VIABILITY THEORY
[2]  
Aubin J. P., 1990, ANN SCUOLA NORM-SCI, V17, P595
[3]  
Aubin J.P., 1990, SET-VALUED ANAL, V2, DOI 10.1007/978-0-8176-4848-0
[4]  
Aubin J.P., 1984, DIFFERENTIAL INCLUSI, DOI DOI 10.1007/978-3-642-69512-4
[5]  
AUBIN JP, IN PRESS CONTINGENT
[6]  
Byrnes C. I., 1990, IEEE T AUTOMAT CONTR, V35, P131
[7]  
BYRNES CI, IN PRESS ASYMPTOTIC
[8]  
BYRNES CI, 1984, COMUTATION CONTROL, P23
[9]  
CANNARSA P, IN PRESS DIRECT SOLU
[10]  
Carr J., 1981, APPL CTR MANIFOLD TH