Search Results - "Bonotto, E.M."
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On the ergodic theory of impulsive semiflows
Published in Journal of mathematical analysis and applications (15-12-2024)“…In this work, we established a simpler criterion for the existence of invariant measures for impulsive semiflows. In addition, we exhibit sufficient conditions…”
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Recursiveness on impulsive dynamical systems: Minimality, non-wandering points, the center of Birkhoff and attractors
Published in Journal of Differential Equations (25-11-2024)“…This paper is devoted to the study of time-varying impulsive recursive motions. We investigate the connections among minimal sets, non-wandering points, the…”
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Stability for generalized stochastic equations
Published in Stochastic processes and their applications (01-07-2024)“…Similarly to generalized ordinary differential equations that comprise various types of classical deterministic equations, generalized stochastic equations…”
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Recursive properties of generalized ordinary differential equations and applications
Published in Journal of Differential Equations (05-12-2021)“…The aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept…”
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Periodic solutions of measure functional differential equations
Published in Journal of Differential Equations (05-02-2022)“…In this article, we study the existence of periodic solutions for measure functional differential equations of the formx(t)=x(0)+∫0tf(s,xs)ds+∫0tg(s,xs)du(s),…”
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Periodic solutions of neutral functional differential equations
Published in Journal of Differential Equations (25-03-2023)“…We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of…”
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Attractors for impulsive non-autonomous dynamical systems and their relations
Published in Journal of Differential Equations (15-03-2017)“…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…”
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Global attractors for impulsive dynamical systems – a precompact approach
Published in Journal of Differential Equations (05-10-2015)“…In this work we give the definition of a global attractor of an impulsive dynamical system and obtain several important properties for this class of…”
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Limit sets and the Poincaré–Bendixson Theorem in impulsive semidynamical systems
Published in Journal of Differential Equations (01-05-2008)“…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…”
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Semicontinuity of attractors for impulsive dynamical systems
Published in Journal of Differential Equations (15-10-2016)“…In this paper we introduce the concept of collective tube conditions which assures a suitable behaviour for a family of dynamical systems close to impulsive…”
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11
Flows of characteristic 0 + in impulsive semidynamical systems
Published in Journal of mathematical analysis and applications (01-08-2007)“…In this paper, as in [E.M. Bonotto, M. Federson, Topological conjugation and asymptotic stability in impulsive semidynamical systems, J. Math. Anal. Appl…”
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12
Weak almost periodic motions, minimality and stability in impulsive semidynamical systems
Published in Journal of Differential Equations (15-02-2014)“…In this paper, we study topological properties of semidynamical systems whose continuous dynamics are interrupted by abrupt changes of state. First, we…”
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Attractors of impulsive dissipative semidynamical systems
Published in Bulletin des sciences mathématiques (01-07-2013)“…In this paper, we consider a class of dissipative semidynamical systems with impulses. First, we study the connectedness of Levinsonʼs center of a compact…”
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14
On Jack Hale's problem for impulsive systems
Published in Journal of Differential Equations (15-07-2015)“…An interesting problem of Jack Hale deals with the existence of a maximal compact invariant set in discrete dynamical systems. A solution for this problem is…”
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15
Negative trajectories in impulsive semidynamical systems
Published in Journal of Differential Equations (05-08-2015)“…The theory of negative semisolutions is well defined in continuous dynamical systems. In this paper, we present a method to construct negative semisolutions…”
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Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times
Published in Journal of Differential Equations (01-04-2011)“…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…”
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Poisson stability for impulsive semidynamical systems
Published in Nonlinear analysis (15-12-2009)“…In this paper, the concept of Poisson stability is investigated for impulsive semidynamical systems. Recursive properties are also investigated…”
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18
Topological conjugation and asymptotic stability in impulsive semidynamical systems
Published in Journal of mathematical analysis and applications (15-02-2007)“…We prove several results concerning topological conjugation of two impulsive semidynamical systems. In particular, we prove that the homeomorphism which…”
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19
LaSalle’s theorems in impulsive semidynamical systems
Published in Nonlinear analysis (01-09-2009)“…We consider a semidynamical system subject to variable impulses and we obtain the LaSalle invariance principle and the asymptotic stability theorem for this…”
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Stability of functional differential equations with variable impulsive perturbations via generalized ordinary differential equations
Published in Bulletin des sciences mathématiques (01-03-2013)“…We consider a class of functional differential equations with variable impulses and we establish new stability results. We discuss the variational stability…”
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