Exponential stability in a scalar functional differential equation

Eduardo Liz, Mihály Pituk

Research output: Article

8 Citations (Scopus)

Abstract

We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation x (t)=L(xt)+g(t,xt) whose linear part y (t)=L(yt) generates a monotone semiflow on the phase space C=C([-r,0],) with respect to the exponential ordering, and the nonlinearity g has at most linear growth.

Original languageEnglish
Article number37195
JournalJournal of Inequalities and Applications
Volume2006
DOIs
Publication statusPublished - dec. 5 2006

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Exponential stability in a scalar functional differential equation'. Together they form a unique fingerprint.

  • Cite this