Chain rule and invariance principle on measure chains

被引:41
作者
Pötzsche, C [1 ]
机构
[1] Univ Augsburg, Inst Math, D-86135 Augsburg, Germany
关键词
time scale; measure chain; chain rule; invariance principle;
D O I
10.1016/S0377-0427(01)00450-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we prove a chain rule for mappings on abstract measure chains and apply our result to deduce an invariance principle for non-autonomous dynamic equations. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:249 / 254
页数:6
相关论文
共 7 条
[1]   Hamiltonian systems on time scales [J].
Ahlbrandt, CD ;
Bohner, M ;
Ridenhour, J .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 250 (02) :561-578
[2]  
Hilger S., 1990, Results Math, V18, P18, DOI [DOI 10.1007/BF03323153, 10.1007/BF03323153]
[3]  
KELLER S, 1999, AUGSBURGER MATHEMATI, V36
[4]  
KNOBLOCH HW, 1974, GEWOHNLICHE DIFFEREN
[5]  
Lakshmikantham V, 1996, DYNAMIC SYSTEMS MEAS, V370
[6]  
Lang S., 1993, REAL FUNCTIONAL ANAL, V142
[7]  
LASALLE JP, 1977, MATH ASSOC AM STUDIE, V14, P1