Zobrazeno 1 - 10
of 250
pro vyhledávání: '"Berezansky L"'
Publikováno v:
Advances in Difference Equations, Vol 2010, Iss 1, p 891697 (2010)
Externí odkaz:
https://doaj.org/article/e3c47c1f4c2d4c8cbb7aa5dc5d8600c7
Autor:
Braverman E, Berezansky L
Publikováno v:
Advances in Difference Equations, Vol 2006, Iss 1, p 082143 (2006)
For a delay difference equation , gk(n) ≤ n, K > 0, a connection between oscillation properties of this equation and the corresponding linear equations is established. Explicit nonoscillation and oscillation conditions are presented. Positiveness o
Externí odkaz:
https://doaj.org/article/71a76b13d65f43c09e32928b6f918062
Mathematical models of angiogenesis, pioneered by P. Hahnfeldt, are under study. To enrich the dynamics of three models, we introduced biologically motivated time-varying delays. All models under study belong to a special class of nonlinear nonautono
Externí odkaz:
http://arxiv.org/abs/1105.3260
Autor:
Berezansky, L., Idels, L.
We introduce a delay nonlinear differential equation model which describes how fish are harvested. In our previous studies we investigated the persistence of that equation and existence of a periodic solution for this equation. Here we study the stab
Externí odkaz:
http://arxiv.org/abs/math/0601459
Autor:
Berezansky, L., Idels, L.
We study the combined effects of periodically varying carrying capacity and survival rates on the fish population in the ocean (sea). We introduce the Getz type delay differential equation model with a control parameter which describes how fish are h
Externí odkaz:
http://arxiv.org/abs/math/0601103
Autor:
Berezansky, L., Braverman, E.
The paper is concerned with stabilization of a scalar delay differention equation $$ {\dot x}(t) - \sum_{k=1}^m A_k(t)x[h_k(t)] = 0,~t\geq 0,~ x(\xi)=\varphi (\xi), \xi <0, $$ by introducing impulses in certain moments of time $$ x(\tau_j) = B_j x(\t
Externí odkaz:
http://arxiv.org/abs/funct-an/9502005
Autor:
Berezansky, L., Braverman, E.
The main result of the paper is that the oscillation (non-oscillation) of the impulsive delay differential equation $\dot {x}(t)+\sum_{k=1}^m A_k(t)x[h_k(t)]=0,~~t\geq 0$, $x(\tau_j)=B_jx(\tau_j-0), \lim \tau_j = \infty$ is equivalent to the oscillat
Externí odkaz:
http://arxiv.org/abs/funct-an/9502002
Autor:
Berezansky, L., Braverman, E.
The connection of function properties of solutions with exponential stability of linear impulsive differential equation $$\dot{x} (t) - \sum_{k=1}^m {A_k (t) x[h_k(t)]} = r(t),~ t \geq 0, x(\xi ) = \varphi (\xi),~ \xi < 0,$$ $$x(\tau_j) = B_j x(\tau_
Externí odkaz:
http://arxiv.org/abs/funct-an/9402001
Autor:
Berezansky, L., Braverman, E.
Suppose any solution of a linear impulsive delay differential equation $$ \dot{x} (t) + \sum_{i=1}^m A_i (t) x[h_i (t)] = 0,~t \geq 0, x(s) = 0, s < 0, $$ $$ x(\tau_j +0) = B_j x(\tau_j -0) + \alpha_j, ~j=1,2, ... ,$$ is bounded for any bounded seque
Externí odkaz:
http://arxiv.org/abs/funct-an/9401001
Autor:
Berezansky, L., Braverman, E.
Consider a linear impulsive equation in a Banach space $$\dot{x}(t)+A(t)x(t) = f(t), ~t \geq 0,$$ $$x(\tau_i +0)= B_i x(\tau_i -0) + \alpha_i,$$ with $\lim_{i \rightarrow \infty} \tau_i = \infty $. Suppose each solution of the corresponding semi-homo
Externí odkaz:
http://arxiv.org/abs/funct-an/9312001