78 citations · 442 across the 48 of their papers we have counts for
57 papers
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 \…
Delayed impulsive stabilisation of discrete-time systems: a periodic event-triggering algorithm
Kexue Zhang, Elena Braverman
This paper studies the problem of event-triggered impulsive control for discrete-time systems. A novel periodic event-triggering scheme with two tunable parameters is presented to…
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…