Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
Texas State University, Department of Mathematics
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 t → ∞. Numerical simulations are carried out to verify our theoretical findings.
Bernfeld-Haddock conjecture, Non-autonomous differential equation, Time-varying delay, Asymptotic behavior
Xiao, S. (2017). Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(69), pp. 1-12.