Stability for retarded functional differential equations

  • M. Federson
  • Š. Schwabik

Abstract

It is known that retarded functional differential equations can be regarded as Banach-space-valued generalized ordinary differential equations (GODEs). In this paper, some stability concepts for retarded functional differential equations are introduced and they are discussed using known stability results for GODEs. Then the equivalence of the different concepts of stabilities considered here are proved and converse Lyapunov theorems for a very wide class of retarded functional differential equations are obtained by means of the correspondence of this class of equations with GODEs.
Published
25.01.2008
How to Cite
FedersonM., and Schwabik Š. “Stability for Retarded Functional Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 1, Jan. 2008, pp. 107–126, https://umj.imath.kiev.ua/index.php/umj/article/view/3142.
Section
Research articles