BENDIXSON'S CRITERION FOR AUTONOMOUS SYSTEMS WITH AN INVARIANT LINEAR SUBSPACE

BENDIXSON'S CRITERION FOR AUTONOMOUS SYSTEMS WITH AN INVARIANT LINEAR SUBSPACE

A class of nonlinear autonomous systems ordinary differential equations in Rn with an invariant linear subspace which includes as examples a wide range of biological and chemical systems is defined and studied. Among other things, criteria precluding the existence of periodic solutions are obtained...

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Veröffentlicht in:The Rocky Mountain journal of mathematics 1995, Vol.25 (1), p.351-363
1. Verfasser: LI, MICHAEL Y.
Format: Artikel
Sprache:eng
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Differential equations
Disease models
Epidemiology
Inner products
Linear systems
Mathematical manifolds
Mathematical theorems
Matrices
Rectifiable curves
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container_title The Rocky Mountain journal of mathematics
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creator LI, MICHAEL Y.
description A class of nonlinear autonomous systems ordinary differential equations in Rn with an invariant linear subspace which includes as examples a wide range of biological and chemical systems is defined and studied. Among other things, criteria precluding the existence of periodic solutions are obtained for such systems using a general method developed in [4].
doi_str_mv 10.1216/rmjm/1181072288
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source JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete
subjects Differential equations
Disease models
Epidemiology
Inner products
Linear systems
Mathematical manifolds
Mathematical theorems
Matrices
Rectifiable curves
title BENDIXSON'S CRITERION FOR AUTONOMOUS SYSTEMS WITH AN INVARIANT LINEAR SUBSPACE
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