Four theorems and one conjecture on the global asymptotic stability of delay differential equations

• Autores: Eduardo Liz Marzán
• Localización: The first 60 years of nonlinear analysis of Jean Mawhin / coord. por Manuel Delgado Delgado , J. López Gómez, Rafael Ortega Ríos , Antonio Suárez Fernández , 2004, ISBN 981-238-765-X, págs. 117-129
• Idioma: inglés
• DOI: 10.1142/9789812702906_0010
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• Resumen

  • The aim of this notes is to bring together the results fruit of the labor of a group of mathematicians (including the author) during the last four years on the global asymptotic stability of a family of scalar delay differential equations with a unique equilibrium. We have obtained sharp conditions which generalize and unify many existing ones in the topic. Finally, we formulate one conjecture that also generalizes other classical ones.