E-mail: tjank@mifgate.mif.pg.gda.pl
Abstract.
The method of quasilinearization is a well--known technique for obtaining
approximate solutions
of nonlinear differential equations. This method has recently been
generalized and extended using
less restrictive assumptions so as to apply to a larger class of differential
equations. In this paper,
we use this technique to nonlinear differential problems.
AMSclassification. 34A45.
Keywords. Quasilinearization, monotone iterations, quadratic convergence.