Article ID Journal Published Year Pages File Type
468897 Computers & Mathematics with Applications 2011 12 Pages PDF
Abstract

In this paper, using the quasilinearization method coupled with the method of upper and lower solutions, we study a class of second-order nonlinear boundary value problems with nonlocal boundary conditions. We establish some 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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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