The problem of the existence of bounded on the entire real axis solutions to linear
nonhomogeneous systems of differential equations undergoing impulsive perturbations at …

In this work, we deal with several different notions of attractors that may appear in the
impulsive non-autonomous framework and we explore their relationships to obtain …

Processes with instantaneous (abrupt) changes are observed in radio engineering (pulse
generation), in biology (heart work, cell division, signal transmission by neurons), in control …

The conditions for the existence of limit regimes for the Liénard equation, the solutions of
which are subjected to instantaneous forces of impulse nature at unfixed moments in time …

We define the notions of impulsive evolution processes and their pullback attractors, and
exhibit conditions under which a given impulsive evolution process has a pullback attractor …

Processes that involve jump-like changes are observed in mechanics (the movement of a
spring under an impact; clockwork), in radio engineering (pulse generation), in biology …

In this paper, we present a comprehensive theory of generalized gradient and dynamically
gradient impulsive semigroups. Our work establishes the equivalence of these classes …

The aim of this paper is to study the long-time behavior of impulsive evolution processes. We
obtain qualitative properties for impulsive evolution processes, and we prove an existence …

In this work we present results to ensure a weak upper semicontinuity for a family of
impulsive cocycle attractors of nonautonomous impulsive dynamical systems, as well as an …

This article studies several notions of Lyapunov stability for impulsive control affine systems
in the setting of nonautonomous dynamical systems. It presents some relations between the …