7 papers · 1 filter
Periodic patterns in simple biological differential delay models
A. Ivanov, S. Shelyag
Periodic patterns in dynamical behaviours of biological models described by simple form differential delay equations are studied. Mathematical models are given by a class of scalar…
Periodic Solutions of a Delay Differential Equation with a Periodic Multiplier
Anatoli Ivanov, Bernhard Lani-Wayda, Sergiy Shelyag
A simple non-autonomous scalar differential equation with delay, exponential decay, nonlinear negative feedback and a periodic multiplicative coefficient is considered. It is shown…
The strong unstable manifold and periodic solutions in differential delay equations with cyclic monotone negative feedbck
Anatoli F. Ivanov, Bernhard Lani-Wayda
For a class of -dimensional systems of differential delay equations with a cyclic and monotone negative feedback structure, we construct a two-dimensional invariant manifold…
Delay differential equations with periodic coefficients: a numerical insight
Anatoli Ivanov, Sergiy Shelyag
Simple form scalar differential equation with delay and non-linear negative periodic feedback is considered. The existence of slowly oscillating periodic solutions with the same pe…
Periodic Solutions in a Simple Delay Differential Equation
Anatoli Ivanov, Sergiy Shelyag
Simple form scalar differential equation with delay and nonlinear negative periodic feedback is considered. The existence of several types of slowly oscillating periodic solutions…
Explicit Periodic Solutions in a Delay Differential Equation
Anatoli Ivanov, Sergiy Shelyag
We construct stable periodic solutions for a simple form nonlinear delay differential equation (DDE) with a periodic coefficient. The equation involves one underlying nonlinearity…