This article concerns the two-dimensional Bernfeld-Haddock conjecture involving non-autonomous delay differential equations. Employing the differential inequality theory, it is shown that every bounded solution tends to a constant vector as . Numerical simulations are carried out to verify our theoretical findings.
Submitted February 21, 2017. Published March 10, 2017.
Math Subject Classifications: 34C12, 39A11.
Key Words: Bernfeld-Haddock conjecture; non-autonomous differential equation; time-varying delay; asymptotic behavior.
Show me the PDF file (254 KB), TEX file for this article.
| Songlin Xiao |
School of Mathematics and Information Science
Guangzhou 510006, China
Phone: +8602039366859, Fax: +8602039366859
Return to the EJDE web page