Sensitivity of dynamical systems to Banach space parameters

被引：9

作者：

Banks, H. T.

Nguyen, Hoan K.

机构：

[1] N Carolina State Univ, Ctr Res Sci Computat, Raleigh, NC 27695 USA

[2] Stat & Appl Math Sci Inst, Res Triangle Pk, NC 27709 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 01期

基金：

美国国家科学基金会;

关键词：

sensitivity equations; delay differential equations; approximation;

D O I：

10.1016/j.jmaa.2005.09.084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider general nonlinear dynamical systems in a Banach space with dependence on parameters in a second Banach space. An abstract theoretical framework for sensitivity equations is developed. An application to measure dependent delay differential systems arising in a class of HIV models is presented. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：146 / 161

页数：16

共 44 条

[1] SENSITIVITY ANALYSIS OF DISCRETE STRUCTURAL SYSTEMS [J].

ADELMAN, HM ;

HAFTKA, RT .

AIAA JOURNAL, 1986, 24 (05) :823-832

[2]

[Anonymous], 1962, J MATH ANAL APPL, V4, P111, DOI DOI 10.1016/0022-247X(62)90033-1

[3]

Banks H. T., 2005, Journal of Inverse and ILL-Posed Problems, V13, P103, DOI 10.1163/1569394053978515

[4]

Banks H.T., 1996, Smart Material Structures-Modeling, Estimation and Control

[5]

Banks H. T., 1989, ESTIMATION TECHNIQUE

[6] A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue [J].

Banks, HT ;

Pinter, GA .

MULTISCALE MODELING & SIMULATION, 2005, 3 (02) :395-412

[7] A parameter sensitivity methodology in the context of HIV delay equation models [J].

Banks, HT ;

Bortz, DM .

JOURNAL OF MATHEMATICAL BIOLOGY, 2005, 50 (06) :607-625

[8] Well-posedness in Maxwell systems with distributions of polarization relaxation parameters [J].

Banks, HT ;

Gibson, NL .

APPLIED MATHEMATICS LETTERS, 2005, 18 (04) :423-430

[9]

Banks HT, 2003, FRONT APP M, V28, P129

[10] Nonlinear reptation in molecular based hysteresis models for polymers [J].

Banks, HT ;

Medhin, NG ;

Pinter, GA .

QUARTERLY OF APPLIED MATHEMATICS, 2004, 62 (04) :767-779

← 1 2 3 4 5 →