S. Trofimchuk

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20012023

most citedNon-monotone travelling waves in a single species reaction-diffusion equation with delay

103 citations · 657 across the 37 of their papers we have counts for

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Showing 2001 · math.DSShow all

3 papers · 2 filters

math.DS2001★ 1 cited

A global stability criterion for scalar functional differential equations

E. Liz, V. Tkachenko, S. Trofimchuk

We consider scalar delay differential equations $x^{'} (t) = - δ x (t) + f (t, x_{t}) (*)$ with nonlinear f satisfying a sort of negative feedback condition combined with a boundedness condit…

math.DS2001

Mackey-Glass type delay differential equations near the boundary of absolute stability

E. Liz, E. Trofimchuk, S. Trofimchuk

For equations $x^{'} (t) = - x (t) + ζ f (x (t - h)), x \in R, f^{'} (0) = - 1, ζ > 0,$ with $C^{3}$ -nonlinearity $f$ which has negative Schwarzian derivative and satisfies $x f (x) < 0$ for $x \neq = 0$ …

math.DS2001★ 4 cited

Wright type delay differential equations with negative Schwarzian

E. Liz, M. Pinto, G. Robledo +2

We prove that the well-known 3/2 stability condition established for the Wright equation (WE) still holds if the nonlinearity $p (exp (- x) - 1)$ in WE is replaced by a decreasing or u…