An extension of the method of quasilinearization

T. Jankowski

Technical University of Gdansk, Department of Differential Equations,
11/12 G.Narutowicz Str., 80-952 Gdansk, Poland.


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.