78 citations · 442 across the 48 of their papers we have counts for
11 papers · 1 filter
On the interplay of harvesting and various diffusion strategies for spatially heterogeneous populations
Elena Braverman, Ilia Ilmer
The paper explores the influence of harvesting (or culling) on the outcome of the competition of two species in a spatially heterogeneous environment. The harvesting effort is assu…
On oscillation of difference equations with continuous time and variable delays
Elena Braverman, William T. Johnson
We consider existence of positive solutions for a difference equation with continuous time, variable coefficients and delays $$ x(t+1)-x(t)+ \sum_{k=1}^m a_k(t)x(h_k(t))=0, \quad a…
On stability of linear neutral differential equations with variable delays
Leonid Berezansky, Elena Braverman
We present a review of known stability tests and new explicit exponential stability conditions for the linear scalar neutral equation with two delays $$ \dot{x}(t)-a(t)\dot{x}(g(t)…
Explicit stability tests for linear neutral delay equations using infinite series
Leonid Berezansky, Elena Braverman
We obtain new explicit exponential stability conditions for the linear scalar neutral equation with two bounded delays where $|a(t)| \leq A_0…
On stability of delay equations with positive and negative coefficients with applications
Leonid Berezansky, Elena Braverman
We obtain new explicit exponential stability conditions for linear scalar equations with positive and negative delayed terms $$ \dot{x}(t)+ \sum_{k=1}^m a_k(t)x(h_k(t))- \sum_{k=1}…
Stochastic control stabilizing unstable or chaotic maps
Elena Braverman, Alexandra Rodkina
The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise,…