For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium ...

For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium ...

We discuss the global well-posedness and uniform exponential stability for the Kirchhoff equation in ℝn (Formula presented) The global solvability is proved when the initial data are taken small enough and the exponential ...

This paper is concerned with existence, uniqueness and global exponential stability of a periodic solution for recurrent neural network described by a system of differential equations with piecewise constant argument of ...

We discuss the global well-posedness and uniform exponential stability for the Kirchhoff equation in R-n u(tt) - M(integral(Rn) vertical bar Delta u vertical bar(2)dx)Delta u + lambda(ut) = 0 in R-n x (0, infinity). The ...

A generalized non-linear nonautonomous model for the haematopoiesis (cell production) with several delays and an oscillating circulation loss rate is studied. We prove a fixed point theorem in abstract cones, from which ...

We address the stabilization of switching linear systems (SLSs) with control inputs under arbitrary switching. A sufficient condition for the stability of autonomous (without control inputs) SLSs is that the individual ...

In this paper, a laminated beam system with two history-type controls is studied. One of the controls acts on the effective rotation angle and the other on the slip equation. The latter control replaces the structural ...