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http://dx.doi.org/10.4134/CKMS.2007.22.1.053

MONOTONE ITERATION SCHEME FOR A FORCED DUFFING EQUATION WITH NONLOCAL THREE-POINT CONDITIONS  

Alsaedi, Ahmed (Department of Mathematics Faculty of Science, King Abdul Aziz University)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.1, 2007 , pp. 53-64 More about this Journal
Abstract
In this paper, we apply the generalized quasilinearization technique to a forced Duffing equation with three-point mixed nonlinear nonlocal boundary conditions and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.
Keywords
quasilinearization; Duffing equation; nonlocal boundary value problem; quadratic convergence;
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Times Cited By KSCI : 1  (Citation Analysis)
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