Publicação: Topological dynamics
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Resumo
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 impulsive semidynamical system. The chapter concerns the existence of a local semidynamical system generated by the nonautonomous generalized ODE. It investigates properties of the impulsive generalized ODE associated with the initial value problem. The chapter presents a version of LaSalle’s invariance principle in the context of generalized ODEs. It provides the concept of a limit set on impulsive semidynamical systems in the frame of generalized ODEs, and also presents the concepts of minimality and recurrence.
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Impulsive semidynamical system, Lasalle’s invariance principle, Ordinary differential equations, Semidynamical systems
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Inglês
Como citar
Generalized Ordinary Differential Equations in Abstract Spaces and Applications, p. 407-428.
