MONOTONE ITERATION SCHEME FOR A FORCED DUFFING EQUATION WITH NONLOCAL THREE-POINT CONDITIONS
Author(s) -
Ahmed Alsaedi
Publication year - 2007
Publication title -
communications of the korean mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.286
H-Index - 15
eISSN - 2234-3024
pISSN - 1225-1763
DOI - 10.4134/ckms.2007.22.1.053
Subject(s) - mathematics , monotone polygon , scheme (mathematics) , point (geometry) , duffing equation , mathematical analysis , geometry , nonlinear system , physics , quantum mechanics
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.
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