Geodesic
Existence and approximation of solutions of second order nonlinear Neumann problems
Electronic journal of differential equations, Tome 2005 (2005)
We study existence and approximation of solutions of some Neumann boundary-value problems in the presence of an upper solution $\beta$ and a lower solution $\alpha$ in the reversed order ( $\alpha\geq \beta$). We use the method of quasilinearization for the existence and approximation of solutions. We also discuss quadratic convergence of the sequence of approximants.
Classification : 34A45, 34B15
Keywords: Neumann problems, quasilinearization, quadratic convergence 
@article{EJDE_2005__2005__a185,
     author = {Khan,  Rahmat Ali},
     title = {Existence and approximation of solutions of second order nonlinear {Neumann} problems},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a185/}
}
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%J Electronic journal of differential equations
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Khan,  Rahmat Ali. Existence and approximation of solutions of second order nonlinear Neumann problems. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a185/