Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II.
On oscillation of a food-limited population model with time delay.
Oscillation for equations with positive and negative coefficients and distributed delay. II: Applications.
First-order differential equations with several deviating arguments: Sturmian comparison method in oscillation theroy: I.
Damped second order linear differential equation with deviating arguments: sharp results in oscillation properties.
Oscillation and asymptotic stability of a delay differential equation with Richard's nonlinearity.
Exponential stability of difference equations with several delays: recursive approach.
On connection between second-order delay differential equations and integrodifferential equations with delay.
On the critical case in oscillation for differential equations with a single delay and with several delays.
Preservation of exponential stability for equations with several delays
We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.
Oscillation properties for a scalar linear difference equation of mixed type
The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type where is the difference operator and are sequences of real numbers for , and , . We obtain sufficient conditions for the existence of oscillatory and nonoscillatory solutions. Some asymptotic properties are introduced.
On stability of linear neutral differential equations with variable delays
We present a review of known stability tests and new explicit exponential stability conditions for the linear scalar neutral equation with two delays where and for its generalizations, including equations with more than two delays, integro-differential equations and equations with a distributed delay.
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