78 citations · 442 across the 48 of their papers we have counts for
46 papers · 1 filter
Towards a resolution of the Buchanan-Lillo conjecture
Elena Braverman, John Ioannis Stavroulakis
Buchanan and Lillo both conjectured that oscillatory solutions of the first-order delay differential equation with positive feedback , , where…
Semicycles and correlated asymptotics of oscillatory solutions to second-order delay differential equations
Elena Braverman, Alexander Domoshnitsky, John Ioannis Stavroulakis
We obtain several new comparison results on the distance between zeros and local extrema of solutions for the second order delay differential equation \begin{equation*} x^{\prime \…
Optimality and sustainability of delayed impulsive harvesting
Jennifer Lawson, Elena Braverman
We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is a function of the population size at the time of one of the…
On exponential stability of linear delay equations with oscillatory coefficients and kernels
Leonid Berezansky, Elena Braverman
New explicit exponential stability conditions are presented for the non-autonomous scalar linear functional differential equation $$ \dot{x}(t)+ \sum_{k=1}^m a_k(t)x(h_k(t))+\int_{…
Exponential stability for a system of second and first order delay differential equations
Leonid Berezansky, Elena Braverman
Exponential stability of the second order linear delay differential equation in and -control is stu…
Time-delay systems with delayed impulses: A unified criterion on asymptotic stability
Kexue Zhang, Elena Braverman
The paper deals with the global asymptotic stability of general nonlinear time-delay systems with delay-dependent impulses through the Lyapunov-Krasovskii method. We derive a unifi…