THE UNIFORM ASYMPTOTIC STABILITY AND THE UNIFORM ULTIMATE BOUNDEDNESS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Ko, Youn-Hee (Department of Mathematics Education Cheju National University )
  • Published : 1997.02.01

Abstract

The purpose of this paper is to present the uniform asymptotic stability theorem and the uniform boundedness and uniform ultimate boundedness theorem for functional differential equations.

Keywords

References

  1. Volterra Integral and Differential Equations T. Burton
  2. Stability and Periodic Solutions of Ordinary and Functional Differential Equations T. Burton
  3. Ann. Math. Pura. Appl. v.145 Unified boundedness, periodicity and stability in ordinary and functional differential equations T. Burton;S. Zhang
  4. Archiv. Rat. Mech. Anal. v.10 Existence and stability of solutions of a delay-differential system R. Driver
  5. Coll. Math. Soc. J. Bolyai v.53 On the asymptotic of the solution of functional differential equations L. Hatvani
  6. J. Math. Anal. Appl. v.163 Boundedness and periodic solutions in infinite delay systems R. H. Hering
  7. Some Refinements of asymptotic stability, uniform asymptotic stability and instability for functional differential equations Y. H. Ko
  8. Proc. Amer. Math. Soc. v.119 An asymptotic stability and a uniform asymptotic stability for functional differential equations Y. H. Ko
  9. Acta. Sci. Math.(Szeged) v.59 On the uniform asymptotic stability for functional differential equations Y. H. Ko
  10. Funkcial Ekvac. v.31 Comparison Theorems on Boundedness S. Zhang