Upper semi continuity of attractors of delay differential equations in the delay

Bulletin of the Australian Mathematical Society

Volumn 73, Issue 2, 2006, Pages 299-306

  Kloeden, Peter E ^a  

^a GOETHE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646391946     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0004972700038880     Document Type: Article

References (7)

1. R.D. Driver, Ordinary and delay differential equations, Applied Mathematical Sciences 20 (Springer-Verlag, Heidelberg, 1977).
2. J.K. Hale, Asymptotic behavior of dissipative dynamical systems (Amer. Math. Soc., Providence, R.I., 1988).
3. J.K. Hale and S.M. Verduyn Lunel, Introduction to functional differential equations (Springer-Verlag, Heidelberg, 1993).
4. P.E. Kloeden and J. Lorenz, 'Stable attracting sets in dynamical systems and in their one-step discretizations', SIAM J. Numer. Anal. 23 (1986), 986-993.
5. P.E. Kloeden and J. Schropp, 'Stable attracting sets in delay differential equations and in their Runge-Kutta discretizations', Numer. Funct. Anal. Optim. (to appear).
6. P.E. Kloeden and S. Siegmund, 'Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems', J. Bifur. Chaos. Appl. Sci. Engg. 15 (2005), 743-762.
7. T. Yoshizawa, Stability theory by Lyapunov's second method, Publication of the Mathematical Society of Japan 9 (The Mathematical Society of Japan, Tokyo, 1966).