Kontakt
Jak kupować
Dostawa
Doradca ds. zakupów
Differential Equations
Angielski
121 b
30 dni na zwrot towaru
Klienci kupili także
/
Miękka
51.31
zł
/
Miękka
151.65
zł
This thesis is mainly concerned about properties of the so-called Filippov operator that is associated with a di erential inclusion x(t) F(t) .e. t [0, T, where F : Rn is given set-valued map. The operator F produces a new set-valued map F [F ], which in e ect regularizes F so that F [F ] has nicer properties. After presenting its de nition, we show that F [F ] is always upper-semicontinuous as a map from Rn to the metric space of compact subsets of Rn endowed with the Hausdor metric. Our main approach is to study the operator via its support function, which we show is an upper semicontinuous function. We show that the support function can be used to characterize the operator, and prove a new result that characterizes those set-valued maps that are xed by F ; this result was previously known to hold only in dimension one. We also generalize to higher dimensions a known result that characterizes those set-valued maps that are almost everywhere singleton-valued (that is, F (x) = {f (x)} where f : Rn Rn is an ordinary function).
Informacje o książce
Angielski
Kategoria
Podaruj tę książkę jeszcze dziś
To łatwe
1 Dodaj książkę do koszyka i wybierz „dostarczyć jako prezent” 2 W odpowiedzi wyślemy Ci bon 3 Książka dotrze na adres obdarowanegoMogłoby Cię także zainteresować
/
Miękka
301.51
zł
Cześć! Jestem Libroamiko, Twój doradca książkowy.
Jak mogę Ci pomóc?