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In this paper we study a system of delay dynamic equations on the time scale T of the form.
In [15, 16], the authors explored the effect of HTLV-I interaction through a system of delay differential equations (DDEs).
Our aim in this work is to study the existence and the attractivity of solutions for a system of delay partial integro-differential equations of fractional order.
We present an approach that allows to reduce a system of delay differential-algebraic equations to neutral type system with a prescribed additional dynamics.
Two coupled delay-line oscillators are modeled by a system of delay differential equations, and their oscillations are analyzed by reducing the delay equations to a system of ordinary differential equations on a finite-dimensional center manifold in the corresponding infinite-dimensional state-space.
Let, moreover, τ 1 = t / q, τ 2 = t / q k with q > 1, k ∈ N. Then one can show that all calculations used in the previous example are true for sufficiently large t 0 ∈ T. The difference between delay dynamic equations and non-delay dynamic equations (resp. a system of delay dynamic equations and a system of non-delay dynamic equations) with respect to controlling their solutions is as follows.
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When they are generalized to include state delays, the resulting models are described by a system of delay-differential-algebraic equations.
Design a system of delayed telesonography between expert center and isolated site where there is no sonographer.
For a system of delayed neural networks of Hopfield type, we deal with the study of global attractivity, multistability, and bifurcations.
It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied.
We developed the epidemic model formulated by a system of impulsive delay differential equations with age structures (i.e., age since last infection or vaccination) to capture a pulse-like vaccination strategy.
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