Zobrazeno 1 - 10
of 52
pro vyhledávání: '"P. A. Berezansky"'
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
For ordinary differential equations and functional differential equations the following result is well known. Suppose any solution is bounded on the half-line for each bounded on the half-line right-hand side. Then under certain conditions the equati
Externí odkaz:
http://arxiv.org/abs/funct-an/9311004
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 77, Pp 1-14 (2017)
There exists a well-developed stability theory for all classes of functional-differential equations and only few results on instability. The aim of this paper is partially reduce this gap. For linear delay differential equations, integro-differential
Externí odkaz:
https://doaj.org/article/8744c2beaeb44b58bf2d553940396fbb
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-12 (2017)
Abstract In this paper a method for studying stability of the equation x ″ ( t ) + ∑ i = 1 m a i ( t ) x ( t − τ i ( t ) ) = 0 $x^{\prime \prime }(t)+\sum_{i=1}^{m}a_{i}(t)x(t- \tau_{i}(t))=0$ not including explicitly the first derivative is p
Externí odkaz:
https://doaj.org/article/5adba6c24ee342719390cb5c4f9f1d97
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 5, Pp 1-18 (2016)
New explicit results on exponential stability, improving recently published results by the authors, are derived for linear delayed systems $$ \dot{x}_i(t)=-\sum_{j=1}^m \sum_{k=1}^{r_{ij}}a_{ij}^{k}(t)x_j(h_{ij}^{k}(t)),\qquad i=1,\dots,m $$ where $t
Externí odkaz:
https://doaj.org/article/032ae9aaeb4143b58066af9080c51307
Autor:
Leonid Berezansky, Sandra Pinelas
Publikováno v:
Mathematica Bohemica, Vol 141, Iss 2, Pp 169-182 (2016)
The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type \Delta x(n)+\sum_{k=-p}^qa_k(n)x(n+k)=0,\quad n>n_0, where $\Delta x(n)=x(n+1)-x(n)$ is the difference operator and $\{a_k(n)\}$ are sequenc
Externí odkaz:
https://doaj.org/article/0d1ab902e1c342ec89f059f808100862
Publikováno v:
Opuscula Mathematica, Vol 36, Iss 4, Pp 459-470 (2016)
New explicit stability results are obtained for the following scalar linear difference equation \[x(n+1)-x(n)=-a(n)x(n)+\sum_{k=1}^n A(n,k)x(k)+f(n)\] and for some nonlinear Volterra difference equations.
Externí odkaz:
https://doaj.org/article/521d185cea354d809e3ab0a3a8c629c2
Autor:
Leonid Berezansky, Lev Idels
Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 12, Pp 21-27 (2005)
We obtain sufficient conditions for oscillation of solutions, and for asymptotical stability of the positive equilibrium, of the scalar nonlinear delay differential equation $$ frac{dN}{dt} = r(t)N(t)Big[a-Big(sum_{k=1}^m b_k N(g_k(t))Big)^{gamma}Big
Externí odkaz:
https://doaj.org/article/02d888507d194ef297cb8543948ebc93
Autor:
Leonid Berezansky, Yury Domshlak
Publikováno v:
Electronic Journal of Differential Equations, Vol 2004, Iss 59, Pp 1-30 (2004)
This article presents a new approach for investigating the oscillation properties of second order linear differential equations with a damped term containing a deviating argument $$ x''(t)-[P(t)x(r(t))]'+Q(t)x(l(t))=0,quad r(t)leq t. $$ To study this
Externí odkaz:
https://doaj.org/article/52643dccfbe74953a873c3e78a627e1d
Autor:
Leonid Berezansky, Elena Braverman
Publikováno v:
Electronic Journal of Differential Equations, Vol 2003, Iss 47, Pp 1-25 (2003)
We apply the results of our previous paper "Oscillation of equations with positive and negative coefficients and distributed delay I: General results" to the study of oscillation properties of equations with several delays and positive and negative c
Externí odkaz:
https://doaj.org/article/96b384c88ede4c2ba1d4c731eed31934