Asymptotic behavior of solutions of differential equations with variable delays

Proceedings of the London Mathematical Society

Volumn 81, Issue 1, 2000, Pages 72-92

  Graef, John R ^a,b   Qian, Chuanxi ^a   Zhang, Bo ^c  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

^c FAYETTEVILLE STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 12844265137     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611500012429     Document Type: Article

References (12)

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3. K. L. COOKE, 'Asymptotic theory for the delay-differential equation u′(t) = -au(t - r(u(t)))', J. Math. Anal. Appl. 19 (1967) 160-173.
4. R. D. DRIVER, Ordinary and delay differential equations (Springer, New York, 1977).
5. J. R. GRAEF and C. QIAN, 'Global attractivity in differential equations with variable delays', J. Austral. Math. Soc. Ser. B to appear.
6. W. HAHN, Theory and applications of Liapunov's direct method (Prentice-Hall, Englewood Cliffs, New Jersey, 1963).
7. J. K. HALE, Theory of functional differential equations (Springer, New York, 1977).
8. T. HARA and J. SUGIE, 'Stability region for systems of differential-difference equations', Funkcial. Ekvac. 39 (1996) 69-86.
9. V. B. KOLMANOVSKII, L. TORELLI and R. VERMIGLIO, 'Stability of some test equations with delay', SIAM J. Math. Anal. 25 (1994) 948-961.
10. T. KRISZTIN, 'On the stability properties for one-dimensional functional differential equations', Funkcial. Ekvac. 34 (1991) 241-256.
11. T. YONEYAMA, 'On the 3/2 stability theorem for one-dimensional delay-differential equations', J. Math. Anal. Appl. 125 (1987) 161-173.
12. J. A. YORKE, 'Asymptotic stability for one dimensional differential-delay equations', J. Differential Equations 7 (1970) 189-202.