Open AccessGeneralized quasilinearization method for nonlinear boundary value problems with integral boundary conditions
Author(s) -
Li Sun,
Mingru Zhou,
Guangwa Wang
Publication year - 2010
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2010.1.66
Subject(s) - mathematics , boundary value problem , nonlinear system , mathematical analysis , mixed boundary condition , value (mathematics) , boundary (topology) , statistics , physics , quantum mechanics
The quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding monotone sequences converge uniformly and quadratically to the unique solution of the problem. An example is also included to illustrate the main result.
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