This chapter is dedicated to the study of semidynamical systems generated by generalized ordinary differential equations (ODEs). Besides the existence of a local semidynamical system, it shows the existence of an associated ...

We consider semidynamical systems with impulse effects at variable times and we discuss some properties of the limit sets of orbits of these systems such as invariancy, compactness and connectedness. As a consequence we ...

We consider a semidynamical system subject to variable impulses and we obtain the LaSalle invariance principle and the asymptotic stability theorem for this semidynamical system. (C) 2009 Elsevier Ltd. All rights reserved.

In this paper, we study topological properties of semidynamical systems whose continuous dynamics are interrupted by abrupt changes of state. First, we establish results which relate various concepts as stability of Lyapunov, ...

In this paper, the concept of Poisson stability is investigated for impulsive semidynamical systems. Recursive properties are also investigated. (C) 2009 Elsevier Ltd. All rights reserved.

In this paper, we consider an initial value problem for a class of generalized ODEs, also known as Kurzweil equations, and we prove the existence of a local semidynamical system there. Under certain perturbation conditions, ...

Neste trabalho, estudamos a teoria dos sistemas semidinâmicos impulsivos. Tais sistemas são uma generalização natural da teoria clássica dos sistemas semidinâmicos contínuos. Na primeira parte deste trabalho, apresentamos ...

The theory of negative semisolutions is well defined in continuous dynamical systems. In this paper, we present a method to construct negative semisolutions for impulsive semidynamical systems. We study topological ...

The theory of negative semisolutions is well defined in continuous dynamical systems. In this paper, we present a method to construct negative semisolutions for impulsive semidynamical systems. We study topological properties ...