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Abstrakty
In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown in this paper. We characterize the function ϕ from the point of view of its semicontinuity. Also, we show the analogous properties for impulsive systems given by semidynamical systems. In the last section we investigate the continuity properties of the escape time function in impulsive systems.
Słowa kluczowe
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
71-80
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- Mathematics Institute, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Bibliografia
Typ dokumentu
Bibliografia
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DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-8