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GENERALIZED QUASILINEARIZATION FOR NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS WITH NONLOCAL CONDITIONS

We apply the generalized quasilinearization technique to obtain a monotone sequence of iterates converging quadratically to the unique solution of a general second order nonlinear difierential equation with nonlinear nonlocal mixed three-point boundary conditions. The convergence of order n (n ‚ 2) of the sequence of iterates has also been established.