3 papers · 1 filter
On exponential stability of linear and nonlinear delay differential equations: a review and new results
Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky
An extensive overview of existing criteria, as well as some new uniform exponential stability tests are included for a scalar delay equation $$ \dot{x}(t)+ \sum_{j=1}^n a_j(t)x(h_j…
Existence of periodic solution of a non-autonomous allelopathic phytoplankton model with fear effect
Satyam Narayan Srivastava, Alexander Domoshnitsky, Seshadev Padhi +1
In this paper, we consider a non-autonomous allelopathic phytoplankton competition ODE model, incorporating the influence of fear effects observed in natural biological phenomena.…
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 \…