On differentiability of solutions with respect to parameters in state-dependent delay equations

被引:55
作者
Hartung, F [1 ]
Turi, J [1 ]
机构
[1] UNIV TEXAS,PROGRAMS MATH SCI,RICHARDSON,TX 75083
关键词
D O I
10.1006/jdeq.1996.3238
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study differentiability of solutions with respect to parameters in state-dependent delay equations. In particular. we give sufficient conditions for differentiability of solutions in the W-1.p norm (1 less than or equal to p < infinity). In establishing our main results we make use of a version of the Uniform Contraction Principle for quasi-Banach spaces. (C) 1997 Academic Press.
引用
收藏
页码:192 / 237
页数:46
相关论文
共 8 条
[1]  
[Anonymous], 1971, NONLINEAR FUNCTIONAL
[2]   LINEARIZING EQUATIONS WITH STATE-DEPENDENT DELAYS [J].
BROKATE, M ;
COLONIUS, F .
APPLIED MATHEMATICS AND OPTIMIZATION, 1990, 21 (01) :45-52
[3]  
Hale J. K., 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7
[4]   DIFFERENTIABILITY WITH RESPECT TO DELAYS [J].
HALE, JK ;
LADEIRA, LAC .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 92 (01) :14-26
[5]   CONTINUITY OF FIXED-POINTS [J].
LADEIRA, LAC .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 169 (02) :350-358
[6]  
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[7]  
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[8]  
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