Asymptotic behavior of a differential equation with distributed delays

Journal of Mathematical Analysis and Applications

Volumn 301, Issue 2, 2005, Pages 313-335

  Tang, X H ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Asymptotical behavior; Delay differential equation; Distributed delays

Indexed keywords

EID: 10344226751     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.07.023     Document Type: Article

References (16)

1. D.I. Barnea A method and new results of stability and instability of autonomous functional differential equations SIAM J. Appl. Math. 17 1969 681-697
2. M. Bartha On the stability properties for neutral differential equations with state-dependent delay Differential Equations Dynam. Systems 7 1999 192-220
3. S. Bernard J. Belair M.C. Mackey Sufficient conditions for stability of linear differential equations with distributed delay Discrete Contin. Dynam. Systems Ser. B 1 2001 233-256
4. R.D. Driver Existence and stability of solutions of delay-differential system Arch. Rational Mech. Anal. 10 1962 401-426
5. K. Gopalsamy Stability and Oscillations in Delay Differential Equations of Population Dynamics 1992 Kluwer Academic
6. J.K. Hale Theory of Functional Differential Equations 1977 Springer-Verlag New York
7. F. Kappel W. Schappacher Some considerations to the fundamental theory of infinite delay equations J. Differential Equations 37 1980 141-183
8. T. Krisztin On the stabilities for one-dimensional functional differential equations Funkcial. Ekvac. 34 1991 241-256
9. T. Krisztin Stability for functional differential equations and some variational problems Tohoku Math. J. 42 1990 407-417
10. T. Krisztin Stability results for one-dimensional functional differential equations Functional Differential Equations, Proc. of the Internat. Symposium in Kyoto, Japan, 2000 1991 World Scientific Singapore 181-190
11. Y. Kuang Delay Differential Equations with Applications in Population Dynamics 1993 Academic Press Boston
12. J.W.H. So J.S. Yu M.P. Chen Asymptotic stability for scalar delay differential equations Funkcial. Ekvac. 39 1996 1-17
13. T. Yoneyama On the 3 / 2 stability theorem for one-dimensional delay-differential equations with unbounded delay J. Math. Anal. Appl. 165 1992 133-143
14. T. Yoneyama Uniform stability for one-dimensional delay-differential equations with dominant delayed term Tohoku Math. J. 41 1989 217-236
15. T. Yoneyama J. Sugie On the stability region of scalar delay-differential equations J. Math. Anal. Appl. 134 1988 408-425
16. J.A. Yorke Asymptotic stability for one dimensional differential-delay equations J. Differential Equations 7 1970 189-202