In this paper,we study the convergence of solutions of a class of delay differ- ential equations.These equations have important practical applications and generalize those on which Bernfeld and Haddock conjectured that each solution of the equations tends.to a constant.We first give an example to point out the errors in several existing works on the convergence of solutions of the equations as well as their generalizations. Then we confirm the Bernfeld-Haddock conjecture under weaker conditions.Our re- sult corrects and improves the existing ones.An appendix by Professor Tongren Ding is also given to correct the mistakes in one of his works.
Tai Shan YI Li; Hong HUANG.
A Generalization of the Bernfeld-Haddock Conjecture and Its Proof. Acta Mathematica Sinica, Chinese Series, 2007, 50(2): 261-270 https://doi.org/10.12386/A2007sxxb0031