Convergence of bounded solutions for a class of systems of delay differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 61, Issue 4, 2005, Pages 543-549

  Hu, Sihu ^a   Huang, Lihong ^a   Yi, Taishan ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Bounded solution; Convergence; Delay differential equation; Equilibrium

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUMBER THEORY; PROBLEM SOLVING; THEOREM PROVING;

BOUNDED SOLUTION; CONVERGENCE; DELAY DIFFERENTIAL EQUATION; EQUILIBRIUM;

DIFFERENTIAL EQUATIONS;

EID: 14644410473     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.01.002     Document Type: Article

References (12)

1. O. Arino, and E. Haourgui On the asymptotic behavior of solutions of some delay differential systems which have first integral J. Math. Anal. Appl. 122 1987 36 46
2. O. Arino, and P. Seguier About the behavior at infinity of solutions of ẋ (t) = f (t - 1, x (t - 1)) - f (t, x (t)) J. Math. Anal. Appl. 96 1983 420 436
3. F. Atkinson, and J. Haddock Criteria for asymptotic constancy of solutions of functional differential equations J. Math. Anal. Appl. 91 1983 410 423
4. F. Atkinson, J. Haddock, and O. Staffans Integral inequalities and exponential convergence of differential equations with bounded delay W. Everitt B. Sleeman Ordinary and Partial Differential Equations Lecture Notes in Mathematics 1982 Springer New York 56 68
5. K.L. Cooke, J.L. Kaplan, A periodicity threshold theorem for epidemic and population growth, Math. Biosci. 31 (1976) 87-104, 410-423.
6. K.L. Cooke, and J. Yorke Some equations modelling growth process and gonorrhea epidemics Math. Biosci. 16 1973 75 107
7. T.R. Ding Asymptotic behavior of solutions of some delay differential equations Sci. China (Ser. A) 8 1981 939 949
8. I. Györi Connections between compartmental systems with pipes and integrodifferential equations Math. Model. 7 1986 1215 1238
9. J.R. Haddock, and J. Terjeki Liapunov-Razumikhin functions and invariance principle for functional differential equations J. Differential Equations 48 1983 95 122
10. J.K. Kaplan, M. Sorg, and J. Yorke Solutions of ẋ (t) = f (x (t - 1), x (t - L)) have limits when f is an order relation Nonlinear Anal. TMA 14 1990 369 377
11. T.S. Yi, L.H. Huang, On a generalization of a conjecture of Bernfeld and Haddock and its proof, Sci. China (Ser. A), to appear.
12. T.S. Yi, L.H. Huang, Convergence for pseudo monotone semiflows on product ordered topological spaces, J. Differential Equations, to appear.