Gunther Reißig and Holger Boche.
A normal form for implicit differential equations near singular points
and its application.
Fachtagung Informations- und Mikrosystemtechnik, Magdeburg, Germany, March 25 - 27, 1998, pp. 419-425.
This paper concerns quasi-linear implicit
differential equations of form
0=A1(x)x'- g1(x), 0=g2(x),
A1:U->L(Rn,Rn-m) is C1,
g1:U->Rn-m is C1,
g2:U->Rm is C2,
U is an open subset of Rn,
and m is less than n.
In particular, the above differential equation
is considered about
impasse points x0 in U, i.e., points x0 beyond
which solutions are not continuable.
We review a recent result on a normal form about such points and discuss
Impressum und Haftungsausschluß