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

  1. Liz Marzán, Eduardo
Book:
The first 60 years of nonlinear analysis of Jean Mawhin
  1. Delgado Delgado, Manuel (coord.)
  2. López Gómez, J. (coord.)
  3. Ortega Ríos, Rafael (coord.)
  4. Suárez Fernández, Antonio (coord.)

Publisher: World Scientific

ISBN: 981-238-765-X

Year of publication: 2004

Pages: 117-129

Type: Book chapter

DOI: 10.1142/9789812702906_0010 WoS: WOS:000236829900010 DIALNET GOOGLE SCHOLAR

Abstract

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.