On stability in impulsive dynamical systems

By K. Ciesielski. 2004

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Flows of characteristic 0+ in impulsive semidynamical systems (2007, background): “since y ∈ H and H is closed and e π−invariant, it follows that x ∈ H. Therefore e D+(H) = H and by Ura’s Theorem (Theorem 3.3) H is e π−stable and hence e π-orbitally stable [see [ 6 ], Theorem 4.1].”
Global attractors for impulsive dynamical systems – a precompact approach (2015, background): “In 1990, Kaul constructed the mathematical foundation of this theory with impulses at variable times in [25] and next, Kaul and Ciesielski published very important results in this area (see [16, 17, 18, 26, 27]).”
Topological conjugation and asymptotic stability in impulsive semidynamical systems (2007, unknown): “For detais, see [ 3], [4], [6], [7], [8] and [9].”
Limit sets and the Poincare-Bendixson Theorem in impulsive semidynamical systems (2008, background): “For results concerning the stability and invariancy of sets in an impulsive system, the reader may want to consult [2,3,5,8].”