Generalized Quasilinearization for Nonlinear Three-Point Boundary Value Problems With Nonlocal Conditions
DOI:
https://doi.org/10.5644/SJM.03.2.04Keywords:
Quasilinearization, three-point boundary value problem, nonlocal conditions, Nagumo condition, rapid convergenceAbstract
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 differential equation with nonlinear nonlocal mixed three-point boundary conditions. The convergence of order $n ~(n\ge2)$ of the sequence of iterates has also been established.
2000 Mathematics Subject Classification. 34B10, 34B15
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References
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