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On the oscillation of odd order neutral differential equations

Zhang B.-G., Li W.

Fasciculi Mathematici

1999

Nr 29

167-183

Consider the odd order neutral differential equation [formula] where [...]l is an oddinteger, [...] Some new sufficient conditions for oscillation of the above equation are obtained. A comparison resu1t is also established.

Nonexistence criteria for positive solutions of a discrete elliptic equation

Cheng S. S., Zhang B.-G.

Fasciculi Mathematici

1998

Nr 28

19-30

A nonlinear elliptic type partial difference equation with a forcing terrn is studied in this paper. By means of an averaging technique, the problem of non-existence of positive solutions is reduced to that of forced recurrence relations. Several sample non-existence criteria are given for these recurrence relations which in turn yield non-existence criteria for the discrete elliptic equation.