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Displaying 41 –
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327
We propose and analyze a mathematical model of hematopoietic stem cell dynamics. This model takes
into account a finite number of stages in blood production, characterized by cell maturity levels,
which enhance the difference, in the hematopoiesis process, between dividing cells that
differentiate (by going to the next stage) and dividing cells that keep the same maturity level (by
staying in the same stage). It is described by a system of n nonlinear differential equations
with n delays. We study...
We present several results dealing with the asymptotic behaviour of a real two-dimensional system with bounded nonconstant delays satisfying , under the assumption of instability. Here , and are supposed to be matrix functions and a vector function, respectively. The conditions for the instable properties of solutions together with the conditions for the existence of bounded solutions are given. The methods are based on the transformation of the real system considered to one equation with...
In this article, stability and asymptotic properties of solutions of a real two-dimensional system are studied, where , are matrix functions, is a vector function and is a nonconstant delay which is absolutely continuous and satisfies . Generalization of results on stability of a two-dimensional differential system with one constant delay is obtained using the methods of complexification and Lyapunov-Krasovskii functional and some new corollaries and examples are presented.
We study asymptotic properties of solutions of the system of differential equations of neutral type.
The main result of the present paper is obtaining new inequalities for solutions of scalar equation . Except this the interval of transient process is computed, i.e. the time is estimated, during which the given solution reaches an - neighbourhood of origin and remains in it.
In this paper, we establish some new sufficient conditions which guarantee the stability and boundedness of solutions of certain nonlinear and non autonomous differential equations of third order with delay. By defining appropriate Lyapunov function, we obtain some new results on the subject. By this work, we extend and improve some stability and boundedness results in the literature.
In this paper we study the boundedness of solutions of some third-order delay differential equation in which is not necessarily differentiable but satisfy a Routh–Hurwitz condition in a closed interval .
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