Coupled differential equations and coupled boundary conditions (Q1067305)

This paper and two others by the same authors [see the following two entries; Zbl 0579.60058 and Zbl 0579.60059] are devoted to applications of the first author's decomposition method [Stochastic systems. (1983; Zbl 0523.60056)]. In the first paper it is shown that this method yields highly accurate approximations of only a few terms when applied to coupled boundary conditions. In the second paper the technique is applied to the equation \(x=k+e^{-x}\), \(k>0\), while in the third differential equations involving the term \(y^{-m}\), where m is a positive integer, are considered.