Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations

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xiao.pdf (248.52 KB)
Date
2017-03-10
Authors
Xiao, Songlin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Bernfeld-Haddock conjecture, Non-autonomous differential equation, Time-varying delay, Asymptotic behavior
Citation
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.
URI
https://hdl.handle.net/10877/15596
Collections
Electronic Journal of Differential Equations