L. Berezansky

activity

19932026

most citedOscillation of a Linear Delay Impulsive Differential Equation

41 citations · 114 across the 27 of their papers we have counts for

collaborators

Showing 2009 · math.DSShow all

3 papers · 2 filters

math.DS2009

On Nonoscillation of Mixed Advanced-Delay Differential Equations with Positive and Negative Coefficients

Leonid Berezansky, Elena Braverman, Sandra Pinelas

For a mixed (advanced--delay) differential equation with variable delays and coefficients $x ˙ (t) \pm a (t) x (g (t)) \mp b (t) x (h (t)) = 0, t \geq t_{0}$ where $$ a(t)\geq 0, b(t)\…

math.DS2009

New Stability Conditions for Linear Difference Equations using Bohl-Perron Type Theorems

Leonid Berezansky, Elena Braverman

The Bohl-Perron result on exponential dichotomy for a linear difference equation $x (n + 1) - x (n) + l = 1 \sum m a_{l} (n) x (h_{l} (n)) = 0, h_{l} (n) \leq n,$ states (under some natural condit…

math.DS2009

Stability of the Second Order Delay Differential Equations with a Damping Term

Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky

For the delay differential equations $x ¨ (t) + a (t) x ˙ (g (t)) + b (t) x (h (t)) = 0, g (t) \leq t, h (t) \leq t,$ and $$ \ddot{x}(t) +a(t)\dot{x}(t)+b(t)x(t)+a_1(t)\dot{x}(g(t))+b_1…