The Bellmann-Kalaba-Lakshmikantham quasilinearization method for Neumann problems. (English) Zbl 1004.34011
A generalized quasilinearization method (in the sense of Bellman-Kalaba-Laksmikantham) for a nonlinear ordinary differential equation with homogeneous Neumann boundary condition is developed. As usual, it provides a monotone sequence converging to a solution. Moreover, this convergence is quadratic.
Reviewer: Jesus Hernandez (Madrid)
MSC:
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H05 | Monotone operators and generalizations |
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