Exponential stability in a scalar functional differential equation

Eduardo Liz, Mihály Pituk

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8 Citations (Scopus)


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
Publication statusPublished - Dec 5 2006


ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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