Browsing by Author "Berezansky, Leonid"
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Item Open Access Exponential Stability of Difference Equations with Several Delays: Recursive Approach(Hindawi Publishing Corporation, 2009-04-23) Berezansky, Leonid; Braverman, ElenaItem Open Access New Stability Conditions for Linear Differential Equations with Several Delays(Hindawi Publishing Corporation, 2011-04-04) Berezansky, Leonid; Braverman, ElenaItem Open Access New Stability Conditions for Linear Differential Equations with Several Delays(2011-06-05) Berezansky, Leonid; Braverman, ElenaNew explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation (...) with measurable delays and coefficients. These results are compared to known stability tests.Item Open Access On oscillation of a food-limited population model with time delay(2003-01-01) Berezansky, Leonid; Braverman, ElenaFor a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. Coefficient r(t) and delays are not assumed to be continuous.