EXPONENTIAL ORDERING FOR NONAUTONOMOUS NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：8

作者：

Novo, Sylvia ^{[1
]}

Obaya, Rafael ^{[1
]}

Villarragut, Victor M. ^{[1
]}

机构：

[1] Univ Valladolid, Dept Matemat Aplicada, ETS Ingn Ind, E-47011 Valladolid, Spain

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2009年 / 41卷 / 03期

关键词：

nonautonomous dynamical systems; monotone skew-product semiflows; exponential ordering; neutral functional differential equations; compartmental systems; SKEW-PRODUCT SEMIFLOWS; COMPARTMENTAL-SYSTEMS; ASYMPTOTIC PERIODICITY; MONOTONE SEMIFLOWS; QUALITATIVE THEORY; CONVERGENCE; STABILITY; BEHAVIOR; PIPES;

D O I：

10.1137/080744682

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study monotone skew-product semiflows generated by families of nonautonomous neutral functional differential equations with in finite delay and stable D-operator, when the exponential ordering is considered. Under adequate hypotheses of stability for the order on bounded sets, we show that the omega-limit sets are copies of the base to explain the long-term behavior of the trajectories. The application to the study of the amount of material within the compartments of a neutral compartmental system with infinite delay shows the improvement with respect to the standard ordering.

引用

页码：1025 / 1053

页数：29

共 34 条

[1]

[Anonymous], 1995, MATH SURVEYS MONOGR

[2]

[Anonymous], LECT TOPOLOGICAL DYN

[3]

[Anonymous], 1977, APPL MATH SCI

[4]

[Anonymous], MATH LECT NOTES