STABILITY STUDY OF AUTONOMOUS ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATION

Authors

  • Luciano Aparecido Magrini Instituto Federal de Educação, Ciência e Tecnologia - Campus São Paulo
  • Marta Cilene Gadotti Universidade Estadual Paulista "Julio de Mesquita Neto" - Campus Rio Claro

DOI:

https://doi.org/10.5902/2179460X14644

Keywords:

sistema linear, equação autônoma, estabilidade, autovalores, exponencial matricial.

Abstract

http://dx.doi.org/10.5902/2179460X14644

The aim of this work is to introduce some important results on stability of solutions of autonomous ordinary differential equations and use them in the stability study of a mathematical model of the biological pest control of the sugarcane borer.

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Author Biographies

Luciano Aparecido Magrini, Instituto Federal de Educação, Ciência e Tecnologia - Campus São Paulo

Professor de Matemática da Coordenação de Ciência e Tecnologia

Marta Cilene Gadotti, Universidade Estadual Paulista "Julio de Mesquita Neto" - Campus Rio Claro

Professor Assistente Doutor do Departamento de Matemática do IGCE - UNESP/Rio Claro.

Published

2015-08-07

How to Cite

Magrini, L. A., & Gadotti, M. C. (2015). STABILITY STUDY OF AUTONOMOUS ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATION. Ciência E Natura, 37, 474–480. https://doi.org/10.5902/2179460X14644