16 citations · 21 across the 6 of their papers we have counts for
7 papers
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 $$ \dot{x}(t)+ \sum_{j=1}^n a_j(t)x(h_j…
Existence of periodic solution of a non-autonomous allelopathic phytoplankton model with fear effect
Satyam Narayan Srivastava, Alexander Domoshnitsky, Seshadev Padhi +1
In this paper, we consider a non-autonomous allelopathic phytoplankton competition ODE model, incorporating the influence of fear effects observed in natural biological phenomena.…
Semicycles and correlated asymptotics of oscillatory solutions to second-order delay differential equations
Elena Braverman, Alexander Domoshnitsky, John Ioannis Stavroulakis
We obtain several new comparison results on the distance between zeros and local extrema of solutions for the second order delay differential equation \begin{equation*} x^{\prime \…
Marchuk's models of infection diseases: new developments
Irina Volinsky, Alexander Domoshnitsky, Marina Bershadsky +1
We consider mathematical models of infection diseases built by G.I. Marchuk in his well known book on immunology. These models are in the form of systems of ordinary delay differen…
Stability of the Second Order Delay Differential Equations with a Damping Term
Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky
For the delay differential equations and $$ \ddot{x}(t) +a(t)\dot{x}(t)+b(t)x(t)+a_1(t)\dot{x}(g(t))+b_1…
Nonoscillation and Stability of the Second Order Ordinary Differential Equations with a Damping Term
Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky
In this paper we consider the linear ordinary equation of the second order $$ L x(t)\equiv \ddot{x}(t) +a(t)\dot{x}(t)+b(t)x(t)=f(t), \eqno{(1)} $$ and the corresponding homogeneou…
Front motion for phase transitions in systems with memory
Horacio G. Rotstein, Alexander I. Domoshnitsky, Alexander Nepomnyashchy
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and the…