Extensions of quasilinearization method for differential equations with integral boundary conditions

Authors:
T. Jankowski
Affiliations:
Gdansk University of Technology, Department of Differential Equations 11/12 G. Narutowicz Str., 80-952 Gdask, Poland
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2003

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Abstract

The method of extended quasilinearization is used for ordinary differential equations with integral boundary conditions. Given are sufficient conditions when two-sided monotone iterations converge quadratically to a unique solution of this problem.