STRONG-EQUAISYMPTOTIC STABILITY OF PERTURBED LINEAR DIFFERENTIAL EQUTIONS WHEN THE PERTURBATION IS LARGE AND DEPENDS ON TIME

  • Ko, Bong-Soo (Department of Mathematics Education Cheju National University Cheju 690-756, KoreaDepartment of Mathematics Education Cheju National University ) ;
  • Ko, Youn-Hee (Department of Mathematics Education Cheju National University ) ;
  • Bang, Eun-Sook (Department of Mathematics Cheju National University ) ;
  • Kang, Dong-Shik (Department of Science Education Cheju National University )
  • Published : 1997.05.01

Abstract

We consider a system of perturbed linear differential equation x' =A(t)x + f(t,x) and obtain conditions to ensure the strong-equiasymptotic stability of the zero solution.

Keywords

References

  1. Stability of Motion W. Hahn
  2. Ordinary Differential Equations J. K. Hale
  3. Theory of Functional Differential Equations J. K. Hale
  4. Acta Sci. Math. v.57 On the Stability of the Zero Solution of Nonlinear Second Order Differential Equations L. Hatvani
  5. Differential and Integral Inequalities v.1 V. Lakshmikantham;S. Leela
  6. Stability Analysis of Nonlinear System V. Lakshmikantham;S. Leela;A. A. Martynyuk
  7. Ordinary Differential Equations R. K. Miller;A. N. Michel
  8. Stability theory by Lyapunov’s direct method N. Rouche;P. Habets;M. Laloy
  9. J. Math. Anal. Appl. v.149 Stability Theorems of Perturbed Linear Ordinary Differential Equations T. Taniguchi
  10. Stability Theory by Lyapunov’s Second Method T. Yoshizawa