A Tikhonov-type theorem for singularly perturbed differential inclusions

被引:30
作者
Dontchev, A
Donchev, TZ
Slavov, I
机构
[1] UNIV MIN & GEOL,DEPT MATH,BU-1156 SOFIA,BULGARIA
[2] TECH UNIV SOFIA,INST APPL MATH & INFORMAT,BU-1156 SOFIA,BULGARIA
基金
美国国家科学基金会;
关键词
differential inclusions; singular perturbations; Tikhonov's theorem; upper semicontinuity; existence of uniformly Lipschitz solutions;
D O I
10.1016/0362-546X(95)00003-E
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:1547 / 1554
页数:8
相关论文
共 15 条
[1]  
Deimling K., 1992, MULTIVALUED DIFFEREN, DOI DOI 10.1515/9783110874228
[2]   SINGULAR PERTURBATION IN MAYER PROBLEM FOR LINEAR-SYSTEMS [J].
DONTCHEV, AL ;
VELIOV, VM .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1983, 21 (04) :566-581
[3]  
DONTCHEV AL, 1991, LECT NOTES CONTROL I, V143, P273
[4]  
Dontchev AL, 1993, Lecture Notes in Mathematics, V1543
[5]   SINGULAR PERTURBATIONS OF NON-LINEAR OSCILLATIONS [J].
FRIEDRICHS, KO ;
WASOW, WR .
DUKE MATHEMATICAL JOURNAL, 1946, 13 (03) :367-381
[6]   STABILITY IN SYSTEMS WITH PARAMETER [J].
HOPPENST.F .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 18 (01) :129-&
[7]   SINGULAR PERTURBATIONS ON INFINITE INTERVAL [J].
HOPPENSTEADT, FC .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 123 (02) :521-+
[8]  
LEVIN JJ, 1954, J RATION MECH ANAL, V3, P247
[9]  
OMALLEY RE, 1991, SINGULAR PERTURBATIO
[10]  
QUINCAMPOIX M, 1993, CR ACAD SCI I-MATH, V316, P133