On a Boundary-Layer Problem.

This is a continuation of our earlier article concerning the boundary-value problem where A, B are prescribed constants, and 0 < &isi; ... 1 is a small positive parameter. In that article, we assumed the coefficients a(x) and b(x) are sufficiently smooth functions with the behavior given by a(x) ∼ αx and b(x) ∼ as x → 0, where α > 0 and βα ≠ 1, 2, 3, … In the present article, we are concerned with the case α < 0 and β/α ≠ 0, -1, -2, …. An asymptotic solution is obtained for the problem, which holds uniformly for all x in [x, x+]. Our result is proved rigorously, and shows that a previous result in the literature is incorrect. [ABSTRACT FROM AUTHOR]

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