Article ID Journal Published Year Pages File Type
4636022 Applied Mathematics and Computation 2007 13 Pages PDF
Abstract
The upper and lower solutions method and the generalized quasilinearization technique for second order nonlinear m-point boundary value problem of the type-x″=f(t,x,x′),t∈[0,1]δx(0)-γx′(0)=0,x(1)=∑i=1m-2αix(ηi),ηi∈(0,1)is developed. A monotone sequence of solutions of linear problems converging uniformly and quadratically to a solution of the problem is obtained in the C1 norm.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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