Variational calculations of the magnetization curve at zero temperature are
reported for two models of frustrated ladder spin systems with ferro- and
antiferromagnetic interactions. The ground state of the models is either fe
rro- or antiferromagnetic depending on model parameters. The character of t
he transition from the ferro- to the antiferromagnetic state differs from t
hat of the corresponding transition in the XXZ model and is characterized b
y the appearance of bound multimagnon states. The existence of these states
is shown to result in magnetization jumps at certain external field values
. The region of the phase diagram where such jumps occur was determined, an
d the corresponding critical field values were found. (C) 2001 MAIK "Nauka/
Interperiodica".