TY - JOUR
T1 - Classical solutions to differential inclusions with totally disconnected right-hand side
AU - Bressan, Alberto
AU - Wang, Zipeng
PY - 2009/1/15
Y1 - 2009/1/15
N2 - Let F = F (t, x) be a bounded, Hausdorff continuous multifunction with compact, totally disconnected values. Given any y0 ∈ F (t0, x0), we show that the differential inclusion over(x, ̇) ∈ F (t, x) ⊂ Rm has a globally defined classical solution, with x (t0) = x0, over(x, ̇) (t0) = y0.
AB - Let F = F (t, x) be a bounded, Hausdorff continuous multifunction with compact, totally disconnected values. Given any y0 ∈ F (t0, x0), we show that the differential inclusion over(x, ̇) ∈ F (t, x) ⊂ Rm has a globally defined classical solution, with x (t0) = x0, over(x, ̇) (t0) = y0.
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U2 - 10.1016/j.jde.2008.07.001
DO - 10.1016/j.jde.2008.07.001
M3 - Article
AN - SCOPUS:55349109934
SN - 0022-0396
VL - 246
SP - 629
EP - 640
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -